-
1
-
-
0014779947
-
On the smallest-branch cuts in directed graphs
-
Ayoub J.N., and Frisch I.T. On the smallest-branch cuts in directed graphs. IEEE Trans. Circuit Theory CT-17 (1970) 249-250
-
(1970)
IEEE Trans. Circuit Theory
, vol.CT-17
, pp. 249-250
-
-
Ayoub, J.N.1
Frisch, I.T.2
-
2
-
-
0037904776
-
On the connectivity and superconnectivity of bipartite digraphs and graphs
-
Balbuena C., and Carmona A. On the connectivity and superconnectivity of bipartite digraphs and graphs. Ars Combin. 61 (2001) 3-21
-
(2001)
Ars Combin.
, vol.61
, pp. 3-21
-
-
Balbuena, C.1
Carmona, A.2
-
3
-
-
0039862238
-
On the connectivity and the conditional diameter of graphs and digraphs
-
Balbuena C., Carmona A., Fàbrega J., and Fiol M.A. On the connectivity and the conditional diameter of graphs and digraphs. Networks 28 (1996) 97-105
-
(1996)
Networks
, vol.28
, pp. 97-105
-
-
Balbuena, C.1
Carmona, A.2
Fàbrega, J.3
Fiol, M.A.4
-
4
-
-
0039386210
-
On the order and size of s-geodetic digraphs with given connectivity
-
Balbuena C., Carmona A., Fàbrega J., and Fiol M.A. On the order and size of s-geodetic digraphs with given connectivity. Discrete Math. 174 (1997) 19-27
-
(1997)
Discrete Math.
, vol.174
, pp. 19-27
-
-
Balbuena, C.1
Carmona, A.2
Fàbrega, J.3
Fiol, M.A.4
-
6
-
-
33845239936
-
Connectivity of graphs with given girth pair
-
Balbuena C., Cera C., Diánez A., Garcia-Vázquez P., and Marcote X. Connectivity of graphs with given girth pair. Discrete Math. 307 (2007) 155-162
-
(2007)
Discrete Math.
, vol.307
, pp. 155-162
-
-
Balbuena, C.1
Cera, C.2
Diánez, A.3
Garcia-Vázquez, P.4
Marcote, X.5
-
7
-
-
0141763805
-
Superconnected digraphs and graphs with small conditional diameters
-
Balbuena C., Fàbrega J., Marcote X., and Pelayo I. Superconnected digraphs and graphs with small conditional diameters. Networks 39 (2002) 153-160
-
(2002)
Networks
, vol.39
, pp. 153-160
-
-
Balbuena, C.1
Fàbrega, J.2
Marcote, X.3
Pelayo, I.4
-
9
-
-
33947310098
-
Lower connectivities of regular graphs with small diameter
-
Balbuena C., and Marcote X. Lower connectivities of regular graphs with small diameter. Discrete Math. 307 (2007) 1255-1265
-
(2007)
Discrete Math.
, vol.307
, pp. 1255-1265
-
-
Balbuena, C.1
Marcote, X.2
-
10
-
-
17644394213
-
On restricted connectivities of permutation graphs
-
Balbuena C., Marcote X., and Garcia-Vázquez P. On restricted connectivities of permutation graphs. Networks 45 (2005) 113-118
-
(2005)
Networks
, vol.45
, pp. 113-118
-
-
Balbuena, C.1
Marcote, X.2
Garcia-Vázquez, P.3
-
11
-
-
0002275818
-
Connectivity extremal problems and the design of reliable probabilistic networks
-
Wiley, New York
-
Bauer D., Suffel C., Boesch F., and Tindell R. Connectivity extremal problems and the design of reliable probabilistic networks. The Theory and Application of Graphs, Kalamazoo MI, 1980 (1981), Wiley, New York 45-54
-
(1981)
The Theory and Application of Graphs, Kalamazoo MI, 1980
, pp. 45-54
-
-
Bauer, D.1
Suffel, C.2
Boesch, F.3
Tindell, R.4
-
12
-
-
43249113106
-
Graphs with prescribed connectivity and line graph connectivity
-
Bauer D., and Tindell R. Graphs with prescribed connectivity and line graph connectivity. J. Graph Theory 3 (1979) 393-395
-
(1979)
J. Graph Theory
, vol.3
, pp. 393-395
-
-
Bauer, D.1
Tindell, R.2
-
13
-
-
84986945358
-
The connectivity of line and total graphs
-
Bauer D., and Tindell R. The connectivity of line and total graphs. J. Graph Theory 6 (1982) 197-203
-
(1982)
J. Graph Theory
, vol.6
, pp. 197-203
-
-
Bauer, D.1
Tindell, R.2
-
14
-
-
84986472097
-
On unreliability polynomials and graph connectivity in reliable network synthesis
-
Boesch F. On unreliability polynomials and graph connectivity in reliable network synthesis. J. Graph Theory 10 (1986) 339-352
-
(1986)
J. Graph Theory
, vol.10
, pp. 339-352
-
-
Boesch, F.1
-
15
-
-
0141982651
-
A generalization of line connectivity and optimally invulnerable graphs
-
Boesch F., and Chen S. A generalization of line connectivity and optimally invulnerable graphs. SIAM J. Appl. Math. 34 (1978) 657-665
-
(1978)
SIAM J. Appl. Math.
, vol.34
, pp. 657-665
-
-
Boesch, F.1
Chen, S.2
-
16
-
-
84986495442
-
Circulants and their connectivities
-
Boesch F., and Tindell R. Circulants and their connectivities. J. Graph Theory 8 (1984) 487-499
-
(1984)
J. Graph Theory
, vol.8
, pp. 487-499
-
-
Boesch, F.1
Tindell, R.2
-
17
-
-
0001797853
-
Super-line-connectivity properties of circulant graphs
-
Boesch F., and Wang J.F. Super-line-connectivity properties of circulant graphs. SIAM J. Algebraic Discrete Methods 7 (1986) 89-98
-
(1986)
SIAM J. Algebraic Discrete Methods
, vol.7
, pp. 89-98
-
-
Boesch, F.1
Wang, J.F.2
-
18
-
-
21344489653
-
On super i-connected graphs
-
Boland J.W., and Ringeisen R.D. On super i-connected graphs. Networks 24 (1994) 225-232
-
(1994)
Networks
, vol.24
, pp. 225-232
-
-
Boland, J.W.1
Ringeisen, R.D.2
-
19
-
-
0042143499
-
On graphs with equal edge-connectivity and minimum degree
-
Bollobás B. On graphs with equal edge-connectivity and minimum degree. Discrete Math. 28 (1979) 321-323
-
(1979)
Discrete Math.
, vol.28
, pp. 321-323
-
-
Bollobás, B.1
-
20
-
-
0342980187
-
Properties of graphs with constraints on the degrees
-
Bondy J.A. Properties of graphs with constraints on the degrees. Studia Sci. Math. Hungar. 4 (1969) 473-475
-
(1969)
Studia Sci. Math. Hungar.
, vol.4
, pp. 473-475
-
-
Bondy, J.A.1
-
21
-
-
0003524084
-
-
The Macmillan Press, London, Basingstoke, UK
-
Bondy J.A., and Murty U.S.R. Graph Theory with Applications (1976), The Macmillan Press, London, Basingstoke, UK
-
(1976)
Graph Theory with Applications
-
-
Bondy, J.A.1
Murty, U.S.R.2
-
22
-
-
31244435524
-
Edge-cuts leaving components of order at least three
-
Bonsma P., Ueffing N., and Volkmann L. Edge-cuts leaving components of order at least three. Discrete Math. 256 (2002) 431-439
-
(2002)
Discrete Math.
, vol.256
, pp. 431-439
-
-
Bonsma, P.1
Ueffing, N.2
Volkmann, L.3
-
23
-
-
84987515975
-
The connectivity of strongly regular graphs
-
Brouwer A.E., and Mesner D.M. The connectivity of strongly regular graphs. European J. Combin. 6 (1985) 215-216
-
(1985)
European J. Combin.
, vol.6
, pp. 215-216
-
-
Brouwer, A.E.1
Mesner, D.M.2
-
24
-
-
0005390720
-
-
North-Holland, New York, Amsterdam, Oxford xii + 259 pp
-
Capobianco M., and Molluzzo J.C. Examples and Counterexamples in Graph Theory (1978), North-Holland, New York, Amsterdam, Oxford xii + 259 pp
-
(1978)
Examples and Counterexamples in Graph Theory
-
-
Capobianco, M.1
Molluzzo, J.C.2
-
25
-
-
0033209571
-
On the superconnectivity and the conditional diameter of graphs and digraphs
-
Carmona A., and Fàbrega J. On the superconnectivity and the conditional diameter of graphs and digraphs. Networks 34 (1999) 197-205
-
(1999)
Networks
, vol.34
, pp. 197-205
-
-
Carmona, A.1
Fàbrega, J.2
-
26
-
-
0000757384
-
A graph-theoretic approach to a communications problem
-
Chartrand G. A graph-theoretic approach to a communications problem. SIAM J. Appl. Math. 14 (1966) 778-781
-
(1966)
SIAM J. Appl. Math.
, vol.14
, pp. 778-781
-
-
Chartrand, G.1
-
27
-
-
0346782947
-
Graphs with prescribed connectivities
-
Erdös P., and Katona G. (Eds), Academic Press, London, New York, San Francisco
-
Chartrand G., and Harary F. Graphs with prescribed connectivities. In: Erdös P., and Katona G. (Eds). Theory of Graphs (1968), Academic Press, London, New York, San Francisco 61-63
-
(1968)
Theory of Graphs
, pp. 61-63
-
-
Chartrand, G.1
Harary, F.2
-
28
-
-
84974151682
-
A sufficient condition for n-connectedness of graphs
-
Chartrand G., Kapoor S.F., and Kronk H.V. A sufficient condition for n-connectedness of graphs. Matematika 15 (1968) 51-52
-
(1968)
Matematika
, vol.15
, pp. 51-52
-
-
Chartrand, G.1
Kapoor, S.F.2
Kronk, H.V.3
-
30
-
-
0038242220
-
The connectivity of line-graphs
-
Chartrand G., and Stewart M.J. The connectivity of line-graphs. Math. Ann. 182 (1969) 170-174
-
(1969)
Math. Ann.
, vol.182
, pp. 170-174
-
-
Chartrand, G.1
Stewart, M.J.2
-
31
-
-
0037431587
-
Super-connectivity and super-edge-connectivity for some interconnection networks
-
Chen Y.C., Tan J.J.M., Hsu L.H., and Kao S.S. Super-connectivity and super-edge-connectivity for some interconnection networks. Appl. Math. Comput. 140 (2003) 245-254
-
(2003)
Appl. Math. Comput.
, vol.140
, pp. 245-254
-
-
Chen, Y.C.1
Tan, J.J.M.2
Hsu, L.H.3
Kao, S.S.4
-
32
-
-
34547768180
-
-
P. Dankelmann, A. Hellwig, L. Volkmann, On the connectivity of diamond-free graphs, Discrete Appl. Math. (2007).
-
P. Dankelmann, A. Hellwig, L. Volkmann, On the connectivity of diamond-free graphs, Discrete Appl. Math. (2007).
-
-
-
-
33
-
-
43249130144
-
-
P. Dankelmann, A. Hellwig, L. Volkmann, Inverse degree and edge-connectivity, submitted for publication.
-
P. Dankelmann, A. Hellwig, L. Volkmann, Inverse degree and edge-connectivity, submitted for publication.
-
-
-
-
34
-
-
0042644444
-
New sufficient conditions for equality of minimum degree and edge-connectivity
-
Dankelmann P., and Volkmann L. New sufficient conditions for equality of minimum degree and edge-connectivity. Ars Combin. 40 (1995) 270-278
-
(1995)
Ars Combin.
, vol.40
, pp. 270-278
-
-
Dankelmann, P.1
Volkmann, L.2
-
35
-
-
0031518422
-
Degree sequence conditions for maximally edge-connected graphs and digraphs
-
Dankelmann P., and Volkmann L. Degree sequence conditions for maximally edge-connected graphs and digraphs. J. Graph Theory 26 (1997) 27-34
-
(1997)
J. Graph Theory
, vol.26
, pp. 27-34
-
-
Dankelmann, P.1
Volkmann, L.2
-
36
-
-
0042281939
-
Degree sequence conditions for maximally edge-connected graphs depending on the clique number
-
Dankelmann P., and Volkmann L. Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Discrete Math. 211 (2000) 217-223
-
(2000)
Discrete Math.
, vol.211
, pp. 217-223
-
-
Dankelmann, P.1
Volkmann, L.2
-
37
-
-
0006830172
-
(k, g)-Cages are 3-connected
-
Daven M., and Rodger C.A. (k, g)-Cages are 3-connected. Discrete Math. 199 (1999) 207-215
-
(1999)
Discrete Math.
, vol.199
, pp. 207-215
-
-
Daven, M.1
Rodger, C.A.2
-
40
-
-
84986487120
-
Lower-bounds on the connectivities of a graph
-
Esfahanian A.H. Lower-bounds on the connectivities of a graph. J. Graph Theory 9 (1985) 503-511
-
(1985)
J. Graph Theory
, vol.9
, pp. 503-511
-
-
Esfahanian, A.H.1
-
41
-
-
0024765312
-
Generalized measures of fault tolerance with application to n-cube networks
-
Esfahanian A.H. Generalized measures of fault tolerance with application to n-cube networks. IEEE Trans. Comput. 38 (1989) 1586-1591
-
(1989)
IEEE Trans. Comput.
, vol.38
, pp. 1586-1591
-
-
Esfahanian, A.H.1
-
42
-
-
0024281477
-
On computing a conditional edge-connectivity of a graph
-
Esfahanian A.H., and Hakimi S.L. On computing a conditional edge-connectivity of a graph. Inform. Process. Lett. 27 (1988) 195-199
-
(1988)
Inform. Process. Lett.
, vol.27
, pp. 195-199
-
-
Esfahanian, A.H.1
Hakimi, S.L.2
-
43
-
-
84986522954
-
Maximally connected digraphs
-
Fàbrega J., and Fiol M.A. Maximally connected digraphs. J. Graph Theory 13 (1989) 657-668
-
(1989)
J. Graph Theory
, vol.13
, pp. 657-668
-
-
Fàbrega, J.1
Fiol, M.A.2
-
44
-
-
0040223169
-
Extraconnectivity of graphs with large girth
-
Fàbrega J., and Fiol M.A. Extraconnectivity of graphs with large girth. Discrete Math. 127 (1994) 163-170
-
(1994)
Discrete Math.
, vol.127
, pp. 163-170
-
-
Fàbrega, J.1
Fiol, M.A.2
-
45
-
-
0041538102
-
Bipartite graphs and digraphs with maximum connectivity
-
Fàbrega J., and Fiol M.A. Bipartite graphs and digraphs with maximum connectivity. Discrete Appl. Math. 69 (1996) 271-279
-
(1996)
Discrete Appl. Math.
, vol.69
, pp. 271-279
-
-
Fàbrega, J.1
Fiol, M.A.2
-
46
-
-
17944395031
-
On the extraconnectivity of graphs
-
Fàbrega J., and Fiol M.A. On the extraconnectivity of graphs. Discrete Math. 155 (1996) 49-57
-
(1996)
Discrete Math.
, vol.155
, pp. 49-57
-
-
Fàbrega, J.1
Fiol, M.A.2
-
47
-
-
43249094445
-
Further topics in connectivity
-
Gross J.L., and Yellen J. (Eds), CRC Press, London, New York
-
Fàbrega J., and Fiol M.A. Further topics in connectivity. In: Gross J.L., and Yellen J. (Eds). Handbook of Graph Theory (2004), CRC Press, London, New York 300-329
-
(2004)
Handbook of Graph Theory
, pp. 300-329
-
-
Fàbrega, J.1
Fiol, M.A.2
-
48
-
-
33845574314
-
The restricted edge-connectivity of Kautz undirected graphs
-
Fan Y.M., Xu J.M., and Lu M. The restricted edge-connectivity of Kautz undirected graphs. Ars Combin. 81 (2006) 369-379
-
(2006)
Ars Combin.
, vol.81
, pp. 369-379
-
-
Fan, Y.M.1
Xu, J.M.2
Lu, M.3
-
50
-
-
0347414502
-
Connectivity and superconnectivity of large graphs and digraphs
-
Fiol M.A. Connectivity and superconnectivity of large graphs and digraphs. Ars Combin. 29B (1990) 5-16
-
(1990)
Ars Combin.
, vol.29 B
, pp. 5-16
-
-
Fiol, M.A.1
-
51
-
-
84987487270
-
On super-edge-connected digraphs and bipartite digraphs
-
Fiol M.A. On super-edge-connected digraphs and bipartite digraphs. J. Graph Theory 16 (1992) 545-555
-
(1992)
J. Graph Theory
, vol.16
, pp. 545-555
-
-
Fiol, M.A.1
-
52
-
-
59749090356
-
The connectivity of large digraphs and graphs
-
Fiol M.A. The connectivity of large digraphs and graphs. J. Graph Theory 17 (1993) 31-45
-
(1993)
J. Graph Theory
, vol.17
, pp. 31-45
-
-
Fiol, M.A.1
-
53
-
-
38149148010
-
The superconnectivity of large digraphs and graphs
-
Fiol M.A. The superconnectivity of large digraphs and graphs. Discrete Math. 124 (1994) 67-78
-
(1994)
Discrete Math.
, vol.124
, pp. 67-78
-
-
Fiol, M.A.1
-
54
-
-
38149146968
-
On the distance connectivity of graphs and digraphs
-
Fiol M.A., and Fàbrega J. On the distance connectivity of graphs and digraphs. Discrete Math. 125 (1994) 169-176
-
(1994)
Discrete Math.
, vol.125
, pp. 169-176
-
-
Fiol, M.A.1
Fàbrega, J.2
-
55
-
-
43249102888
-
-
M.A. Fiol, J. Fàbrega, M. Escudero, Short paths and connectivity in graphs and digraphs, in: The 12th British Combinatorial Conference, Norwich, 1989, Ars Combin. 29B (1990) 17-31.
-
M.A. Fiol, J. Fàbrega, M. Escudero, Short paths and connectivity in graphs and digraphs, in: The 12th British Combinatorial Conference, Norwich, 1989, Ars Combin. 29B (1990) 17-31.
-
-
-
-
56
-
-
43249114839
-
-
G. Fricke, O.R. Oellermann, H.C. Swart, The edge-connectivity, average edge-connectivity and degree conditions, unpublished manuscript, 2000.
-
G. Fricke, O.R. Oellermann, H.C. Swart, The edge-connectivity, average edge-connectivity and degree conditions, unpublished manuscript, 2000.
-
-
-
-
58
-
-
43249122357
-
-
D. Geller, F. Harary, Connectivity in digraphs, in: Recent Trends in Graph Theory, Proceedings of the First New York City Graph Theory Conference, 1970, Lecture Notes in Mathematics, vol. 186, 1971, pp. 105-115.
-
D. Geller, F. Harary, Connectivity in digraphs, in: Recent Trends in Graph Theory, Proceedings of the First New York City Graph Theory Conference, 1970, Lecture Notes in Mathematics, vol. 186, 1971, pp. 105-115.
-
-
-
-
60
-
-
0141982650
-
On the nth order edge-connectivity of a graph
-
Goldsmith D.L. On the nth order edge-connectivity of a graph. Congr. Numer. 32 (1981) 375-382
-
(1981)
Congr. Numer.
, vol.32
, pp. 375-382
-
-
Goldsmith, D.L.1
-
61
-
-
43249104737
-
The functional edge-connectivity of a graph
-
Goldsmith D.L. The functional edge-connectivity of a graph. J. Combin. Inform. System Sci. 17 (1992) 183-193
-
(1992)
J. Combin. Inform. System Sci.
, vol.17
, pp. 183-193
-
-
Goldsmith, D.L.1
-
62
-
-
84987527874
-
A sufficient condition for equality of edge-connectivity and minimum degree of a graph
-
Goldsmith D.L., and Entringer R.C. A sufficient condition for equality of edge-connectivity and minimum degree of a graph. J. Graph Theory 3 (1979) 251-255
-
(1979)
J. Graph Theory
, vol.3
, pp. 251-255
-
-
Goldsmith, D.L.1
Entringer, R.C.2
-
63
-
-
0038899301
-
On graphs with equal edge-connectivity and minimum degree
-
Goldsmith D.L., and White A.T. On graphs with equal edge-connectivity and minimum degree. Discrete Math. 23 (1978) 31-36
-
(1978)
Discrete Math.
, vol.23
, pp. 31-36
-
-
Goldsmith, D.L.1
White, A.T.2
-
64
-
-
43249112486
-
-
E. Gyo{combining double acute accent}ri, On division of graphs to connected subgraphs, in: Combinatorics, Proceedings of the Fifth Hungarian Colloquium, Keszthely, 1976, vol. I, pp. 485-494, Colloq. Math. Soc. János Bolyai 18 (1978).
-
E. Gyo{combining double acute accent}ri, On division of graphs to connected subgraphs, in: Combinatorics, Proceedings of the Fifth Hungarian Colloquium, Keszthely, 1976, vol. I, pp. 485-494, Colloq. Math. Soc. János Bolyai 18 (1978).
-
-
-
-
65
-
-
0000274221
-
On the connectivity of Cayley digraphs
-
Hamidoune Y.O. On the connectivity of Cayley digraphs. European J. Combin. 5 (1984) 309-312
-
(1984)
European J. Combin.
, vol.5
, pp. 309-312
-
-
Hamidoune, Y.O.1
-
66
-
-
0012831746
-
Vertex transitivity and super line connectedness
-
Hamidoune Y.O., and Tindell R. Vertex transitivity and super line connectedness. SIAM J. Discrete Math. 3 (1990) 524-530
-
(1990)
SIAM J. Discrete Math.
, vol.3
, pp. 524-530
-
-
Hamidoune, Y.O.1
Tindell, R.2
-
67
-
-
0020827886
-
Conditional connectivity
-
Harary F. Conditional connectivity. Networks 13 (1983) 347-357
-
(1983)
Networks
, vol.13
, pp. 347-357
-
-
Harary, F.1
-
68
-
-
0001734467
-
The diameter of a graph and its complement
-
Harary F., and Robinson R.W. The diameter of a graph and its complement. Amer. Math. Monthly 92 (1985) 211-212
-
(1985)
Amer. Math. Monthly
, vol.92
, pp. 211-212
-
-
Harary, F.1
Robinson, R.W.2
-
69
-
-
43249096971
-
-
A. Hellwig, Maximally connected graphs and digraphs, Ph.D. Thesis, Aachen University, 2005.
-
A. Hellwig, Maximally connected graphs and digraphs, Ph.D. Thesis, Aachen University, 2005.
-
-
-
-
73
-
-
26844451015
-
Maximally local-edge-connected graphs and digraphs
-
Hellwig A., and Volkmann L. Maximally local-edge-connected graphs and digraphs. Ars Combin. 72 (2004) 295-306
-
(2004)
Ars Combin.
, vol.72
, pp. 295-306
-
-
Hellwig, A.1
Volkmann, L.2
-
75
-
-
43249124420
-
Neighborhood and degree conditions for super-edge-connected bipartite digraphs
-
Hellwig A., and Volkmann L. Neighborhood and degree conditions for super-edge-connected bipartite digraphs. Resultate Math. 45 (2004) 45-58
-
(2004)
Resultate Math.
, vol.45
, pp. 45-58
-
-
Hellwig, A.1
Volkmann, L.2
-
76
-
-
14644395517
-
′-optimal, super-edge-connected and maximally edge-connected
-
′-optimal, super-edge-connected and maximally edge-connected. J. Graph Theory 48 (2005) 228-246
-
(2005)
J. Graph Theory
, vol.48
, pp. 228-246
-
-
Hellwig, A.1
Volkmann, L.2
-
77
-
-
33745651547
-
Neighborhood conditions for graphs and digraphs to be maximally edge-connected
-
Hellwig A., and Volkmann L. Neighborhood conditions for graphs and digraphs to be maximally edge-connected. Australas. J. Combin. 33 (2005) 265-277
-
(2005)
Australas. J. Combin.
, vol.33
, pp. 265-277
-
-
Hellwig, A.1
Volkmann, L.2
-
78
-
-
33646361342
-
On connectivity in graphs with given clique number
-
Hellwig A., and Volkmann L. On connectivity in graphs with given clique number. J. Graph Theory 52 (2006) 7-14
-
(2006)
J. Graph Theory
, vol.52
, pp. 7-14
-
-
Hellwig, A.1
Volkmann, L.2
-
79
-
-
33646345005
-
Lower bounds on the vertex-connectivity of digraphs and graphs
-
Hellwig A., and Volkmann L. Lower bounds on the vertex-connectivity of digraphs and graphs. Inform. Process. Lett. 99 (2006) 41-46
-
(2006)
Inform. Process. Lett.
, vol.99
, pp. 41-46
-
-
Hellwig, A.1
Volkmann, L.2
-
80
-
-
43249101081
-
-
A. Hellwig, L. Volkmann, The connectivity of a graph and its complement, Discrete Appl. Math., to appear.
-
A. Hellwig, L. Volkmann, The connectivity of a graph and its complement, Discrete Appl. Math., to appear.
-
-
-
-
81
-
-
0022024631
-
Connectivity of regular directed graphs with small diameters
-
Imase M., Soneoka T., and Okada K. Connectivity of regular directed graphs with small diameters. IEEE Trans. Comput. 34 (1985) 267-273
-
(1985)
IEEE Trans. Comput.
, vol.34
, pp. 267-273
-
-
Imase, M.1
Soneoka, T.2
Okada, K.3
-
82
-
-
0039039198
-
On the connectivity of Cayley graphs
-
Imrich W. On the connectivity of Cayley graphs. J. Combin. Theory Ser. B 26 (1979) 323-326
-
(1979)
J. Combin. Theory Ser. B
, vol.26
, pp. 323-326
-
-
Imrich, W.1
-
83
-
-
34250609333
-
Sur les fonctions convexes et les inégalités entre les valeurs moyennes
-
Jensen J.L.W.V. Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Math. 30 (1906) 175-193
-
(1906)
Acta Math.
, vol.30
, pp. 175-193
-
-
Jensen, J.L.W.V.1
-
84
-
-
0032355166
-
Connectivity and separating sets of cages
-
Jiang T., and Mubayi D. Connectivity and separating sets of cages. J. Graph Theory 29 (1998) 35-44
-
(1998)
J. Graph Theory
, vol.29
, pp. 35-44
-
-
Jiang, T.1
Mubayi, D.2
-
85
-
-
0040083857
-
Sur la connexité des graphes orientés
-
Jolivet J.L. Sur la connexité des graphes orientés. C. R. Acad. Sci. Paris 274A (1972) 148-150
-
(1972)
C. R. Acad. Sci. Paris
, vol.274 A
, pp. 148-150
-
-
Jolivet, J.L.1
-
86
-
-
84966198692
-
A lower bound on the number of vertices of a graph
-
Kane V.G., and Mohanty S.P. A lower bound on the number of vertices of a graph. Proc. Amer. Math. Soc. 72 (1978) 211-212
-
(1978)
Proc. Amer. Math. Soc.
, vol.72
, pp. 211-212
-
-
Kane, V.G.1
Mohanty, S.P.2
-
87
-
-
0040858825
-
Asymptotic formulas for the probability of k-connectedness of random graphs
-
Kelmans A.K. Asymptotic formulas for the probability of k-connectedness of random graphs. Theory Probab. Appl. 17 (1972) 243-254
-
(1972)
Theory Probab. Appl.
, vol.17
, pp. 243-254
-
-
Kelmans, A.K.1
-
89
-
-
34250966677
-
Über Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre
-
König D. Über Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre. Math. Ann. 77 (1916) 453-465
-
(1916)
Math. Ann.
, vol.77
, pp. 453-465
-
-
König, D.1
-
90
-
-
0028377873
-
Conditional connectivity measures for large multiprocessor systems
-
Latifi S., Hedge M., and Naraghi-Pour M. Conditional connectivity measures for large multiprocessor systems. IEEE Trans. Comput. 43 (1994) 218-222
-
(1994)
IEEE Trans. Comput.
, vol.43
, pp. 218-222
-
-
Latifi, S.1
Hedge, M.2
Naraghi-Pour, M.3
-
91
-
-
0008393057
-
Results on the edge-connectivity of graphs
-
Lesniak L. Results on the edge-connectivity of graphs. Discrete Math. 8 (1974) 351-354
-
(1974)
Discrete Math.
, vol.8
, pp. 351-354
-
-
Lesniak, L.1
-
92
-
-
34250631758
-
On restricted edge-connectivity of vertex-transitive graphs
-
Li L., and Xu J.M. On restricted edge-connectivity of vertex-transitive graphs. J. Univ. Sci. Tech. China 34 (2004) 266-272
-
(2004)
J. Univ. Sci. Tech. China
, vol.34
, pp. 266-272
-
-
Li, L.1
Xu, J.M.2
-
93
-
-
0039992140
-
Reliability analysis of circulant graphs
-
Li Q.L., and Li Q. Reliability analysis of circulant graphs. Networks 31 (1998) 61-65
-
(1998)
Networks
, vol.31
, pp. 61-65
-
-
Li, Q.L.1
Li, Q.2
-
94
-
-
0033095304
-
Super edge connectivity properties of connected edge symmetric graphs
-
Li Q.L., and Li Q. Super edge connectivity properties of connected edge symmetric graphs. Networks 33 (1999) 157-159
-
(1999)
Networks
, vol.33
, pp. 157-159
-
-
Li, Q.L.1
Li, Q.2
-
95
-
-
43249116348
-
Connectivity of circulant graphs
-
(in Chinese, in English, Chinese summary)
-
Li T.F. Connectivity of circulant graphs. J. Math. Res. Exposition 19 (1999) 608-610 (in Chinese, in English, Chinese summary)
-
(1999)
J. Math. Res. Exposition
, vol.19
, pp. 608-610
-
-
Li, T.F.1
-
97
-
-
14644394886
-
All (k ; g)-cages are k-edge-connected
-
Lin Y., Miller M., and Rodger C. All (k ; g)-cages are k-edge-connected. J. Graph Theory 48 (2005) 219-227
-
(2005)
J. Graph Theory
, vol.48
, pp. 219-227
-
-
Lin, Y.1
Miller, M.2
Rodger, C.3
-
98
-
-
43249105749
-
The connectivity of directed circulant graphs
-
(in Chinese, English summary)
-
Liu X. The connectivity of directed circulant graphs. J. Xinjiang Univ. Natur. Sci. 7 (1990) 31-34 (in Chinese, English summary)
-
(1990)
J. Xinjiang Univ. Natur. Sci.
, vol.7
, pp. 31-34
-
-
Liu, X.1
-
99
-
-
0002487211
-
A homology theory for spanning trees of a graph
-
Lovász L. A homology theory for spanning trees of a graph. Acta Math. Acad. Sci. Hungar. 30 (1977) 241-251
-
(1977)
Acta Math. Acad. Sci. Hungar.
, vol.30
, pp. 241-251
-
-
Lovász, L.1
-
100
-
-
34250631347
-
On super edge-connectivity of Cartesian product graphs
-
Lü M., Chen G.L., and Xu J.M. On super edge-connectivity of Cartesian product graphs. Networks 49 (2007) 152-157
-
(2007)
Networks
, vol.49
, pp. 152-157
-
-
Lü, M.1
Chen, G.L.2
Xu, J.M.3
-
101
-
-
0040889325
-
Über den Zusammenhang symmetrischer Graphen
-
Mader W. Über den Zusammenhang symmetrischer Graphen. Arch. Math. (Basel) 21 (1970) 331-336
-
(1970)
Arch. Math. (Basel)
, vol.21
, pp. 331-336
-
-
Mader, W.1
-
102
-
-
0002601802
-
Minimale n-fach kantenzusammenh"angende Graphen
-
Mader W. Minimale n-fach kantenzusammenh"angende Graphen. Math. Ann. 191 (1971) 21-28
-
(1971)
Math. Ann.
, vol.191
, pp. 21-28
-
-
Mader, W.1
-
103
-
-
43249110358
-
-
W. Mader, Connectivity and edge-connectivity in finite graphs, in: B. Bollobás (Ed.), Surveys in Combinatorics, Proceedings of the Seventh British Combinatorial Conference, Cambridge, 1979, pp. 66-95, London Math. Soc. Lecture Note Series, vol. 38, Cambridge University Press, Cambridge, New York, 1979.
-
W. Mader, Connectivity and edge-connectivity in finite graphs, in: B. Bollobás (Ed.), Surveys in Combinatorics, Proceedings of the Seventh British Combinatorial Conference, Cambridge, 1979, pp. 66-95, London Math. Soc. Lecture Note Series, vol. 38, Cambridge University Press, Cambridge, New York, 1979.
-
-
-
-
104
-
-
2042511675
-
Edge-superconnectivity of cages
-
Marcote X., and Balbuena C. Edge-superconnectivity of cages. Networks 43 (2004) 54-59
-
(2004)
Networks
, vol.43
, pp. 54-59
-
-
Marcote, X.1
Balbuena, C.2
-
105
-
-
33947313857
-
On the connectivity of cages with girth five, six and eight
-
Marcote X., Balbuena C., and Pelayo I. On the connectivity of cages with girth five, six and eight. Discrete Math. 307 (2007) 1441-1446
-
(2007)
Discrete Math.
, vol.307
, pp. 1441-1446
-
-
Marcote, X.1
Balbuena, C.2
Pelayo, I.3
-
106
-
-
25444431801
-
(δ, g)-Cages with g ≥ 10 are 4-connected
-
Marcote X., Balbuena C., Pelayo I., and Fàbrega J. (δ, g)-Cages with g ≥ 10 are 4-connected. Discrete Math. 301 (2005) 124-136
-
(2005)
Discrete Math.
, vol.301
, pp. 124-136
-
-
Marcote, X.1
Balbuena, C.2
Pelayo, I.3
Fàbrega, J.4
-
107
-
-
0037566682
-
Superconnectivity and super edge-connectivity of line graphs
-
Meng J. Superconnectivity and super edge-connectivity of line graphs. Graph Theory Notes N. Y. 40 (2001) 12-14
-
(2001)
Graph Theory Notes N. Y.
, vol.40
, pp. 12-14
-
-
Meng, J.1
-
108
-
-
0037421179
-
Optimally super-edge-connected transitive graphs
-
Meng J. Optimally super-edge-connected transitive graphs. Discrete Math. 260 (2003) 239-248
-
(2003)
Discrete Math.
, vol.260
, pp. 239-248
-
-
Meng, J.1
-
109
-
-
43249124913
-
Connectivity of Cayley graphs on symmetric groups
-
Meng J. Connectivity of Cayley graphs on symmetric groups. J. Xinjiang Univ. Natur. Sci. 21 (2004) 113-119
-
(2004)
J. Xinjiang Univ. Natur. Sci.
, vol.21
, pp. 113-119
-
-
Meng, J.1
-
110
-
-
84867947324
-
On a kind of restricted edge connectivity of graphs
-
Meng J., and Ji Y. On a kind of restricted edge connectivity of graphs. Discrete Appl. Math. 117 (2002) 183-193
-
(2002)
Discrete Appl. Math.
, vol.117
, pp. 183-193
-
-
Meng, J.1
Ji, Y.2
-
111
-
-
0002439168
-
Zur allgemeinen Kurventheorie
-
Menger K. Zur allgemeinen Kurventheorie. Fund. Math. 10 (1927) 96-115
-
(1927)
Fund. Math.
, vol.10
, pp. 96-115
-
-
Menger, K.1
-
112
-
-
43249120585
-
-
M.H. Moriarty, P.R. Christopher, Cages of degree k are k-edge-connected, in: The 36th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Congr. Numer. 173 (2005) 161-167.
-
M.H. Moriarty, P.R. Christopher, Cages of degree k are k-edge-connected, in: The 36th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Congr. Numer. 173 (2005) 161-167.
-
-
-
-
113
-
-
0041133574
-
Connectivity and edge-connectivity in graphs: a survey
-
Oellermann O.R. Connectivity and edge-connectivity in graphs: a survey. Congr. Numer. 116 (1996) 231-252
-
(1996)
Congr. Numer.
, vol.116
, pp. 231-252
-
-
Oellermann, O.R.1
-
114
-
-
43249097258
-
Restricted edge connectivity of regular graphs
-
Ou J.P. Restricted edge connectivity of regular graphs. J. Math. Study 34 (2001) 345-350
-
(2001)
J. Math. Study
, vol.34
, pp. 345-350
-
-
Ou, J.P.1
-
115
-
-
43249104659
-
-
J.P. Ou, Restricted edge connectivity and network reliability, Ph.D. Thesis, Department of Mathematics, Xiamen University, 2003.
-
J.P. Ou, Restricted edge connectivity and network reliability, Ph.D. Thesis, Department of Mathematics, Xiamen University, 2003.
-
-
-
-
116
-
-
28544444492
-
4-Restricted edge cuts of graphs
-
Ou J.P. 4-Restricted edge cuts of graphs. Australas. J. Combin. 30 (2004) 103-112
-
(2004)
Australas. J. Combin.
, vol.30
, pp. 103-112
-
-
Ou, J.P.1
-
117
-
-
28544453191
-
Edge cuts leaving components of order at least m
-
Ou J.P. Edge cuts leaving components of order at least m. Discrete Math. 305 (2005) 365-371
-
(2005)
Discrete Math.
, vol.305
, pp. 365-371
-
-
Ou, J.P.1
-
118
-
-
43249113362
-
-
J.P. Ou, Ore-type conditions for maximizing 3-restricted edge connectivity of graphs, submitted for publication.
-
J.P. Ou, Ore-type conditions for maximizing 3-restricted edge connectivity of graphs, submitted for publication.
-
-
-
-
120
-
-
43249129603
-
Reliability of undirected de Bruijn networks
-
(in Chinese, in English, Chinese summaries)
-
Ou J.P., and Zhang F.J. Reliability of undirected de Bruijn networks. Gongcheng Shuxue Xuebao 21 (2004) 947-952 (in Chinese, in English, Chinese summaries)
-
(2004)
Gongcheng Shuxue Xuebao
, vol.21
, pp. 947-952
-
-
Ou, J.P.1
Zhang, F.J.2
-
121
-
-
34247151167
-
Super restricted edge connectivity of Kautz graphs
-
(in Chinese, in English, Chinese summaries)
-
Ou J.P., and Zhang F.J. Super restricted edge connectivity of Kautz graphs. Acta Math. Sinica (Chinese Ser.) 47 (2004) 931-940 (in Chinese, in English, Chinese summaries)
-
(2004)
Acta Math. Sinica (Chinese Ser.)
, vol.47
, pp. 931-940
-
-
Ou, J.P.1
Zhang, F.J.2
-
122
-
-
43249083662
-
3-Restricted edge connectivity of vertex transitive graphs of girth three
-
Ou J.P., and Zhang F.J. 3-Restricted edge connectivity of vertex transitive graphs of girth three. J. Math. Res. Exposition 25 (2005) 58-63
-
(2005)
J. Math. Res. Exposition
, vol.25
, pp. 58-63
-
-
Ou, J.P.1
Zhang, F.J.2
-
123
-
-
28544441986
-
3-Restricted edge connectivity of vertex transitive graphs
-
Ou J.P., and Zhang F.J. 3-Restricted edge connectivity of vertex transitive graphs. Ars Combin. 74 (2005) 291-301
-
(2005)
Ars Combin.
, vol.74
, pp. 291-301
-
-
Ou, J.P.1
Zhang, F.J.2
-
125
-
-
31844451541
-
Super restricted edge connectivity of regular graphs
-
Ou J.P., and Zhang F.J. Super restricted edge connectivity of regular graphs. Graphs Combin. 21 (2005) 459-467
-
(2005)
Graphs Combin.
, vol.21
, pp. 459-467
-
-
Ou, J.P.1
Zhang, F.J.2
-
126
-
-
31244435985
-
On the superconnectivity of generalized p-cycles
-
Pelayo I., Balbuena C., and Gómez J. On the superconnectivity of generalized p-cycles. Discrete Math. 255 (2002) 13-23
-
(2002)
Discrete Math.
, vol.255
, pp. 13-23
-
-
Pelayo, I.1
Balbuena, C.2
Gómez, J.3
-
128
-
-
0040083858
-
On equality of edge-connectivity and minimum degree of a graph
-
Plesník J., and Znám S. On equality of edge-connectivity and minimum degree of a graph. Arch. Math. (Brno) 25 (1989) 19-25
-
(1989)
Arch. Math. (Brno)
, vol.25
, pp. 19-25
-
-
Plesník, J.1
Znám, S.2
-
129
-
-
0000182631
-
Line graphs and generalizations-a survey
-
Prisner E. Line graphs and generalizations-a survey. Congr. Numer. 116 (1996) 193-229
-
(1996)
Congr. Numer.
, vol.116
, pp. 193-229
-
-
Prisner, E.1
-
130
-
-
43249093918
-
-
p, q-connectedness, submitted for publication.
-
p, q-connectedness, submitted for publication.
-
-
-
-
131
-
-
43249110590
-
-
D. Rautenbach, L. Volkmann, Cyclic sums, network sharing and restricted edge cuts in graphs with long cycles, submitted for publication.
-
D. Rautenbach, L. Volkmann, Cyclic sums, network sharing and restricted edge cuts in graphs with long cycles, submitted for publication.
-
-
-
-
132
-
-
43249083162
-
-
D. Rautenbach, L. Volkmann, On the existence of edge cuts leaving several large components, submitted for publication.
-
D. Rautenbach, L. Volkmann, On the existence of edge cuts leaving several large components, submitted for publication.
-
-
-
-
133
-
-
0042793653
-
Selbstkomplementäre Graphen
-
Ringel G. Selbstkomplementäre Graphen. Arch. Math. (Basel) 14 (1963) 354-358
-
(1963)
Arch. Math. (Basel)
, vol.14
, pp. 354-358
-
-
Ringel, G.1
-
135
-
-
0000488788
-
Network structure and minimum degree
-
Seidman S.B. Network structure and minimum degree. Social Networks 5 (1983) 269-287
-
(1983)
Social Networks
, vol.5
, pp. 269-287
-
-
Seidman, S.B.1
-
137
-
-
0141764680
-
Super edge- and point-connectivities of the Cartesian product of regular graphs
-
Shieh B.S. Super edge- and point-connectivities of the Cartesian product of regular graphs. Networks 40 (2002) 91-96
-
(2002)
Networks
, vol.40
, pp. 91-96
-
-
Shieh, B.S.1
-
138
-
-
38249013054
-
Super edge-connectivity of dense digraphs and graphs
-
Soneoka T. Super edge-connectivity of dense digraphs and graphs. Discrete Appl. Math. 37/38 (1992) 511-523
-
(1992)
Discrete Appl. Math.
, vol.37-38
, pp. 511-523
-
-
Soneoka, T.1
-
139
-
-
0022288049
-
Sufficient conditions for dense graphs to be maximally connected
-
Soneoka T., Nakada H., and Imase M. Sufficient conditions for dense graphs to be maximally connected. Proc. ISCAS 85 (1985) 811-814
-
(1985)
Proc. ISCAS
, vol.85
, pp. 811-814
-
-
Soneoka, T.1
Nakada, H.2
Imase, M.3
-
140
-
-
38249037846
-
Sufficient conditions for maximally connected dense graphs
-
Soneoka T., Nakada H., Imase M., and Peyrat C. Sufficient conditions for maximally connected dense graphs. Discrete Math. 63 (1987) 53-66
-
(1987)
Discrete Math.
, vol.63
, pp. 53-66
-
-
Soneoka, T.1
Nakada, H.2
Imase, M.3
Peyrat, C.4
-
141
-
-
43249099064
-
The connectivity of line graphs
-
(in Chinese)
-
Sun H.Q. The connectivity of line graphs. Chinese Ann. Math. Ser. A 7 (1986) 602-605 (in Chinese)
-
(1986)
Chinese Ann. Math. Ser. A
, vol.7
, pp. 602-605
-
-
Sun, H.Q.1
-
142
-
-
84987574005
-
Sufficient conditions for equality of connectivity and minimum degree of a graph
-
Topp J., and Volkmann L. Sufficient conditions for equality of connectivity and minimum degree of a graph. J. Graph Theory 17 (1993) 695-700
-
(1993)
J. Graph Theory
, vol.17
, pp. 695-700
-
-
Topp, J.1
Volkmann, L.2
-
143
-
-
0001263144
-
An extremal problem in graph theory
-
Turán P. An extremal problem in graph theory. Mat. Fiz. Lapok 48 (1941) 436-452
-
(1941)
Mat. Fiz. Lapok
, vol.48
, pp. 436-452
-
-
Turán, P.1
-
145
-
-
21144434889
-
Restricted edge-connectivity and minimum edge-degree
-
Ueffing N., and Volkmann L. Restricted edge-connectivity and minimum edge-degree. Ars Combin. 66 (2003) 193-203
-
(2003)
Ars Combin.
, vol.66
, pp. 193-203
-
-
Ueffing, N.1
Volkmann, L.2
-
146
-
-
0040083852
-
Bemerkungen zum p-fachen Zusammenhang von Graphen
-
Volkmann L. Bemerkungen zum p-fachen Zusammenhang von Graphen. An. Univ. Bucuresti Mat. 37 (1988) 75-79
-
(1988)
An. Univ. Bucuresti Mat.
, vol.37
, pp. 75-79
-
-
Volkmann, L.1
-
147
-
-
84986533233
-
Edge-connectivity in p-partite graphs
-
Volkmann L. Edge-connectivity in p-partite graphs. J. Graph Theory 13 (1989) 1-6
-
(1989)
J. Graph Theory
, vol.13
, pp. 1-6
-
-
Volkmann, L.1
-
149
-
-
0037341704
-
Degree sequence conditions for equal edge-connectivity and minimum degree depending on the clique number
-
Volkmann L. Degree sequence conditions for equal edge-connectivity and minimum degree depending on the clique number. J. Graph Theory 42 (2003) 234-245
-
(2003)
J. Graph Theory
, vol.42
, pp. 234-245
-
-
Volkmann, L.1
-
150
-
-
14944377401
-
Degree sequence conditions for super-edge-connected graphs and digraphs
-
Volkmann L. Degree sequence conditions for super-edge-connected graphs and digraphs. Ars Combin. 67 (2003) 237-249
-
(2003)
Ars Combin.
, vol.67
, pp. 237-249
-
-
Volkmann, L.1
-
151
-
-
43249129112
-
Sufficient conditions for super-edge-connected graphs depending on the clique number
-
Volkmann L. Sufficient conditions for super-edge-connected graphs depending on the clique number. J. Combin. Math. Combin. Comput. 49 (2004) 3-8
-
(2004)
J. Combin. Math. Combin. Comput.
, vol.49
, pp. 3-8
-
-
Volkmann, L.1
-
152
-
-
33745659389
-
Degree sequence conditions for maximally edge-connected oriented graphs
-
Volkmann L. Degree sequence conditions for maximally edge-connected oriented graphs. Appl. Math. Lett. 19 (2006) 1255-1260
-
(2006)
Appl. Math. Lett.
, vol.19
, pp. 1255-1260
-
-
Volkmann, L.1
-
153
-
-
43249097511
-
-
L. Volkmann, Graphen an allen Ecken und Kanten, vol. XVI, RWTH Aachen, 2006, 377pp. 〈http://www.math2.rwth-aachen.de/∼uebung/GT/graphen1.html〉.
-
L. Volkmann, Graphen an allen Ecken und Kanten, vol. XVI, RWTH Aachen, 2006, 377pp. 〈http://www.math2.rwth-aachen.de/∼uebung/GT/graphen1.html〉.
-
-
-
-
154
-
-
35748946019
-
-
L. Volkmann, Local-edge-connectivity in digraphs and oriented graphs, Discrete Math. (2007), doi:10.1016/j.disc.2007.03.051.
-
L. Volkmann, Local-edge-connectivity in digraphs and oriented graphs, Discrete Math. (2007), doi:10.1016/j.disc.2007.03.051.
-
-
-
-
155
-
-
43249129113
-
-
L. Volkmann, Sufficient conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number, Ars Combin., to appear.
-
L. Volkmann, Sufficient conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number, Ars Combin., to appear.
-
-
-
-
156
-
-
34547914456
-
Lower bounds on the vertex-connectivity of oriented graphs and bipartite oriented graphs
-
Volkmann L. Lower bounds on the vertex-connectivity of oriented graphs and bipartite oriented graphs. Utilitas Math. 73 (2007) 45-54
-
(2007)
Utilitas Math.
, vol.73
, pp. 45-54
-
-
Volkmann, L.1
-
157
-
-
43249090062
-
-
L. Volkmann, Degree sequence conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number, Ars Combin., to appear.
-
L. Volkmann, Degree sequence conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number, Ars Combin., to appear.
-
-
-
-
158
-
-
43249101606
-
-
L. Volkmann, On local connectivity of graphs, Appl. Math. Lett., to appear.
-
L. Volkmann, On local connectivity of graphs, Appl. Math. Lett., to appear.
-
-
-
-
159
-
-
34250886280
-
Restricted arc-connectivity of digraphs
-
Volkmann L. Restricted arc-connectivity of digraphs. Inform. Process. Lett. 103 (2007) 234-239
-
(2007)
Inform. Process. Lett.
, vol.103
, pp. 234-239
-
-
Volkmann, L.1
-
160
-
-
43249083924
-
-
L. Volkmann, Degree sequence conditions for super-edge-connected oriented graphs, J. Combin. Math. Combin. Comput., to appear.
-
L. Volkmann, Degree sequence conditions for super-edge-connected oriented graphs, J. Combin. Math. Combin. Comput., to appear.
-
-
-
-
161
-
-
43249095195
-
-
L. Volkmann, Edge-cuts leaving components of given minimal order, submitted for publication.
-
L. Volkmann, Edge-cuts leaving components of given minimal order, submitted for publication.
-
-
-
-
162
-
-
2042462924
-
A note on the edge-connectivity of cages
-
4pp.
-
Wang P., Xu B., and Wang J. A note on the edge-connectivity of cages. Electron. J. Combin. 10 2 (2003) 4pp.
-
(2003)
Electron. J. Combin.
, vol.10
, Issue.2
-
-
Wang, P.1
Xu, B.2
Wang, J.3
-
163
-
-
10444285351
-
Super restricted edge-connectivity of vertex-transitive graphs
-
Wang Y.Q. Super restricted edge-connectivity of vertex-transitive graphs. Discrete Math. 289 (2004) 199-205
-
(2004)
Discrete Math.
, vol.289
, pp. 199-205
-
-
Wang, Y.Q.1
-
164
-
-
33745757516
-
Optimization problems of the third edge-connectivity of graphs
-
Wang Y.Q. Optimization problems of the third edge-connectivity of graphs. Sci. China Ser. A 49 (2006) 791-799
-
(2006)
Sci. China Ser. A
, vol.49
, pp. 791-799
-
-
Wang, Y.Q.1
-
165
-
-
2442681749
-
Super edge connectivity properties of graphs with diameter
-
(Chinese Ed.)
-
Wang Y.Q., and Li Q. Super edge connectivity properties of graphs with diameter. J. Shanghai Jiaotong Univ. 33 6 (1999) 646-649 (Chinese Ed.)
-
(1999)
J. Shanghai Jiaotong Univ.
, vol.33
, Issue.6
, pp. 646-649
-
-
Wang, Y.Q.1
Li, Q.2
-
166
-
-
34250837737
-
A sufficient condition for an equality between restricted edge-connectivity and minimum edge-degree of graphs
-
(in Chinese, in English, Chinese summary)
-
Wang Y.Q., and Li Q. A sufficient condition for an equality between restricted edge-connectivity and minimum edge-degree of graphs. Appl. Math. J. Chinese Univ. Ser. A 16 (2001) 269-275 (in Chinese, in English, Chinese summary)
-
(2001)
Appl. Math. J. Chinese Univ. Ser. A
, vol.16
, pp. 269-275
-
-
Wang, Y.Q.1
Li, Q.2
-
168
-
-
17644389218
-
Upper bound of the third edge-connectivity of graphs
-
Wang Y.Q., and Li Q. Upper bound of the third edge-connectivity of graphs. Sci. China Ser. A 48 (2005) 360-371
-
(2005)
Sci. China Ser. A
, vol.48
, pp. 360-371
-
-
Wang, Y.Q.1
Li, Q.2
-
169
-
-
1542403140
-
A lower bound for the number of vertices of a graph
-
Watkins M.E. A lower bound for the number of vertices of a graph. Amer. Math. Monthly 74 (1967) 297
-
(1967)
Amer. Math. Monthly
, vol.74
, pp. 297
-
-
Watkins, M.E.1
-
170
-
-
0002443025
-
Connectivity of transitive graphs
-
Watkins M.E. Connectivity of transitive graphs. J. Combin. Theory 8 (1970) 23-29
-
(1970)
J. Combin. Theory
, vol.8
, pp. 23-29
-
-
Watkins, M.E.1
-
171
-
-
0001270387
-
Congruent graphs and the connectivity of graphs
-
Whitney H. Congruent graphs and the connectivity of graphs. Amer. J. Math. 54 (1932) 150-168
-
(1932)
Amer. J. Math.
, vol.54
, pp. 150-168
-
-
Whitney, H.1
-
172
-
-
85022368025
-
Cages-a survey
-
Wong P.K. Cages-a survey. J. Graph Theory 6 (1982) 1-22
-
(1982)
J. Graph Theory
, vol.6
, pp. 1-22
-
-
Wong, P.K.1
-
173
-
-
0000652549
-
Fault tolerance measures for m-ary n-dimensional hypercubes based on forbidden faulty sets
-
Wu J., and Guo G. Fault tolerance measures for m-ary n-dimensional hypercubes based on forbidden faulty sets. IEEE Trans. Comput. 47 (1998) 888-893
-
(1998)
IEEE Trans. Comput.
, vol.47
, pp. 888-893
-
-
Wu, J.1
Guo, G.2
-
174
-
-
0142138286
-
On the connectivity of (4,g)-cages
-
Xu B., Wang P., and Wang J. On the connectivity of (4,g)-cages. Ars Combin. 64 (2002) 181-192
-
(2002)
Ars Combin.
, vol.64
, pp. 181-192
-
-
Xu, B.1
Wang, P.2
Wang, J.3
-
175
-
-
0043145382
-
A sufficient condition for equality of arc-connectivity and minimum degree of a digraph
-
Xu J.M. A sufficient condition for equality of arc-connectivity and minimum degree of a digraph. Discrete Math. 133 (1994) 315-318
-
(1994)
Discrete Math.
, vol.133
, pp. 315-318
-
-
Xu, J.M.1
-
176
-
-
33750836911
-
Restricted edge-connectivity of vertex-transitive graphs
-
Xu J.M. Restricted edge-connectivity of vertex-transitive graphs. Chinese J. Contemp. Math. 21 (2000) 369-374
-
(2000)
Chinese J. Contemp. Math.
, vol.21
, pp. 369-374
-
-
Xu, J.M.1
-
177
-
-
43249124179
-
-
J.M. Xu, Super or restricted connectivity of graphs-a survey, unpublished manuscript, 2005.
-
J.M. Xu, Super or restricted connectivity of graphs-a survey, unpublished manuscript, 2005.
-
-
-
-
178
-
-
34248564853
-
-
J.M. Xu, M. Lü, Y.M. Fan, The restricted edge-connectivity of de Bruijn undirected graphs, Ars Combin. 83 (2007) 321-333.
-
J.M. Xu, M. Lü, Y.M. Fan, The restricted edge-connectivity of de Bruijn undirected graphs, Ars Combin. 83 (2007) 321-333.
-
-
-
-
180
-
-
31244433586
-
On restricted edge-connectivity of graphs
-
Xu J.M., and Xu K.L. On restricted edge-connectivity of graphs. Discrete Math. 243 (2002) 291-298
-
(2002)
Discrete Math.
, vol.243
, pp. 291-298
-
-
Xu, J.M.1
Xu, K.L.2
-
181
-
-
51249188188
-
On a theorem of Chartrand, Kapoor and Kronk
-
Zamfirescu T. On a theorem of Chartrand, Kapoor and Kronk. Rend. Circ. Mat. Palermo 18 (1969) 319-322
-
(1969)
Rend. Circ. Mat. Palermo
, vol.18
, pp. 319-322
-
-
Zamfirescu, T.1
-
182
-
-
0037904777
-
On the line-connectivity of line-graphs
-
Zamfirescu T. On the line-connectivity of line-graphs. Math. Ann. 187 (1970) 305-309
-
(1970)
Math. Ann.
, vol.187
, pp. 305-309
-
-
Zamfirescu, T.1
-
183
-
-
43249085472
-
On connectivity of Möbius cubes
-
Zhang X.M., and Xu J.M. On connectivity of Möbius cubes. Math. Appl. (Wuhan) 17 (2004) 56-60
-
(2004)
Math. Appl. (Wuhan)
, vol.17
, pp. 56-60
-
-
Zhang, X.M.1
Xu, J.M.2
-
184
-
-
43249099288
-
Graph operations and super edge connectivity
-
Zhang Z. Graph operations and super edge connectivity. J. Zhengzhou Univ. Natur. Sci. Ed. 36 (2004) 1-6
-
(2004)
J. Zhengzhou Univ. Natur. Sci. Ed.
, vol.36
, pp. 1-6
-
-
Zhang, Z.1
-
185
-
-
35449001514
-
-
Z. Zhang, Sufficient conditions for restricted-edge-connectivity to be optimal, Discrete Math. (2007), doi:10.1016/j.disc.2007.01.016.
-
Z. Zhang, Sufficient conditions for restricted-edge-connectivity to be optimal, Discrete Math. (2007), doi:10.1016/j.disc.2007.01.016.
-
-
-
-
187
-
-
27944492031
-
A proof of an inequality concerning k-restricted edge connectivity
-
Zhang Z., and Yuan J. A proof of an inequality concerning k-restricted edge connectivity. Discrete Math. 304 (2005) 128-134
-
(2005)
Discrete Math.
, vol.304
, pp. 128-134
-
-
Zhang, Z.1
Yuan, J.2
-
188
-
-
33845210152
-
Degree conditions for restricted-edge-connectivity and isoperimetric-edge-connectivity to be optimal
-
Zhang Z., and Yuan J. Degree conditions for restricted-edge-connectivity and isoperimetric-edge-connectivity to be optimal. Discrete Math. 307 (2007) 293-298
-
(2007)
Discrete Math.
, vol.307
, pp. 293-298
-
-
Zhang, Z.1
Yuan, J.2
|