-
1
-
-
38249034532
-
On the genus and thickness of graphs
-
Asano, K.: On the genus and thickness of graphs, J. Comb. Theory Ser. B 43, 287-292 (1987)
-
(1987)
J. Comb. Theory Ser. B
, vol.43
, pp. 287-292
-
-
Asano, K.1
-
2
-
-
4043167917
-
The thickness of an arbitrary complete graph
-
Alekseev, V.B., Gončakov, V.S.: The thickness of an arbitrary complete graph. Math. Sbornik 30(2), 187-202 (1976)
-
(1976)
Math. Sbornik
, vol.30
, Issue.2
, pp. 187-202
-
-
Alekseev, V.B.1
Gončakov, V.S.2
-
3
-
-
0026082425
-
Multilayer grid embeddings for VLSI
-
Aggarwal, A., Klawe, M., Shor, P.: Multilayer grid embeddings for VLSI. Algorithmica 1, 129-151 (1991)
-
(1991)
Algorithmica
, vol.1
, pp. 129-151
-
-
Aggarwal, A.1
Klawe, M.2
Shor, P.3
-
4
-
-
4043172159
-
Note on t-minimal bipartite graphs
-
Bouwer, I.Z., Broere, I.: Note on t-minimal bipartite graphs. Canad. Math. Bull. 11, 729-732 (1968)
-
(1968)
Canad. Math. Bull.
, vol.11
, pp. 729-732
-
-
Bouwer, I.Z.1
Broere, I.2
-
5
-
-
4043176433
-
Complete bipartite graphs: Decomposition into planar subgraphs
-
F. Harary: New York
-
Beineke, L.W.: Complete bipartite graphs: Decomposition into planar subgraphs. In: F. Harary: A seminar on graph theory, pp. 42-53. New York: 1967.
-
(1967)
A Seminar on Graph Theory
, pp. 42-53
-
-
Beineke, L.W.1
-
6
-
-
0040200590
-
The decomposition of complete graphs into planar subgraphs
-
New York: Academic Press
-
Beineke, L.W.: The decomposition of complete graphs into planar subgraphs. In: Graph theory and theoretical physics, pp. 139-153. New York: Academic Press, 1967
-
(1967)
Graph Theory and Theoretical Physics
, pp. 139-153
-
-
Beineke, L.W.1
-
7
-
-
0041642539
-
Minimal decompositions of complete graphs into subgraphs with embeddability properties
-
Beineke, L.W.: Minimal decompositions of complete graphs into subgraphs with embeddability properties. Canad. J. Math. 21, 992-1000 (1969)
-
(1969)
Canad. J. Math.
, vol.21
, pp. 992-1000
-
-
Beineke, L.W.1
-
9
-
-
0040794967
-
The thickness of the complete graph
-
Beineke, L. W., Harary, F.: The thickness of the complete graph. Canad. J. Math. 17, 850-859 (1965)
-
(1965)
Canad. J. Math.
, vol.17
, pp. 850-859
-
-
Beineke, L.W.1
Harary, F.2
-
10
-
-
84966248492
-
Every planar graph with nine points has a nonplanar complement
-
Battle, J., Harary, F., Kodoma, Y.: Every planar graph with nine points has a nonplanar complement. Bull. Amer. Math Soc. 68, 569-571 (1962)
-
(1962)
Bull. Amer. Math Soc.
, vol.68
, pp. 569-571
-
-
Battle, J.1
Harary, F.2
Kodoma, Y.3
-
11
-
-
0004513506
-
On the thickness of the complete bipartite graph
-
Beineke, L.W., Harary, F., Moon, J.W.: On the thickness of the complete bipartite graph. Proc. Camb. Phil. Soc. 60, 1-5 (1964)
-
(1964)
Proc. Camb. Phil. Soc.
, vol.60
, pp. 1-5
-
-
Beineke, L.W.1
Harary, F.2
Moon, J.W.3
-
12
-
-
0026835958
-
Embedding graphs in books: A survey
-
March
-
Bilski, T.: Embedding graphs in books: a survey. IEEE Proceedings-E, Vol. 139, No. 2, March 1992.
-
(1992)
IEEE Proceedings-E
, vol.139
, Issue.2
-
-
Bilski, T.1
-
13
-
-
0017216776
-
Testing for the consecutive ones property, Interval graphs and graph planarity testing using PQ-tree algorithms
-
Booth, K.S., Lueker, G.S.: Testing for the consecutive ones property, Interval graphs and graph planarity testing using PQ-tree algorithms. J. of Computer and Systems Sciences 13, 335-379 (1976)
-
(1976)
J. of Computer and Systems Sciences
, vol.13
, pp. 335-379
-
-
Booth, K.S.1
Lueker, G.S.2
-
14
-
-
0017482921
-
Thickness of graphs with degree constrained vertices
-
Bose, N.K., Prabhu, K.A.: Thickness of graphs with degree constrained vertices. IEEE Trans, on Circuits and Systems 24, 184-190 (1977)
-
(1977)
IEEE Trans, on Circuits and Systems
, vol.24
, pp. 184-190
-
-
Bose, N.K.1
Prabhu, K.A.2
-
16
-
-
84867468810
-
A better approximation algorithm for the maximum planar subgraph problem
-
SODA'96, Atlanta, Georgia
-
Cǎlinescu, G., Fernandes, C.G., Finkler, U., Karloff, H.: A better approximation algorithm for the maximum planar subgraph problem, Proc. of the 7th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 16-25. SODA'96, Atlanta, Georgia, 1996
-
(1996)
Proc. of the 7th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 16-25
-
-
Cǎlinescu, G.1
Fernandes, C.G.2
Finkler, U.3
Karloff, H.4
-
17
-
-
0027829965
-
An O(m log n)-Time algorithm for the maximal planar subgraph problem
-
Cai, J., Han, X., Tarjan, R.E.: An O(m log n)-Time algorithm for the maximal planar subgraph problem. SIAM J. Comput. 22, 1142-1162 (1993)
-
(1993)
SIAM J. Comput.
, vol.22
, pp. 1142-1162
-
-
Cai, J.1
Han, X.2
Tarjan, R.E.3
-
18
-
-
33847256626
-
Graphs with forbidden subgraphs
-
Chatrand, G., Geller, D., Hedetniemi, S.: Graphs with forbidden subgraphs. J. Comb. Theory 10, 12-41 (1971)
-
(1971)
J. Comb. Theory
, vol.10
, pp. 12-41
-
-
Chatrand, G.1
Geller, D.2
Hedetniemi, S.3
-
20
-
-
84957598804
-
Rectangle-visibility representations of bipartite graphs
-
Extended Abstract, R. Tamassia and I. Tollis: Graph Drawing, Berlin Heidelberg New York: Springer
-
Dean, A.M., Hutchinson, J.P.: Rectangle-visibility representations of bipartite graphs, Extended Abstract, Lecture Notes in Computer Science 894: R. Tamassia and I. Tollis: Graph Drawing, pp. 159-166. Berlin Heidelberg New York: Springer 1995
-
(1995)
Lecture Notes in Computer Science 894
, pp. 159-166
-
-
Dean, A.M.1
Hutchinson, J.P.2
-
21
-
-
0004537957
-
On the thickness and arboricity of a graph
-
Dean, A.M., Hutchinson, J.P., Scheinerman, E.: On the thickness and arboricity of a graph. J. Comb. Theory Ser. B 52, 147-151 (1991)
-
(1991)
J. Comb. Theory Ser. B
, vol.52
, pp. 147-151
-
-
Dean, A.M.1
Hutchinson, J.P.2
Scheinerman, E.3
-
22
-
-
18144408895
-
Outerthickness and outercoarseness of graphs
-
Combinatorics, London: Cambridge University Press
-
Guy, R.K.: Outerthickness and outercoarseness of graphs, in: Combinatorics, London Math. Soc. Lecture Notes 13, pp. 57-60. London: Cambridge University Press 1974
-
(1974)
London Math. Soc. Lecture Notes 13
, pp. 57-60
-
-
Guy, R.K.1
-
23
-
-
0026147819
-
On the thickness of graphs of given degree
-
Halton, J.: On the thickness of graphs of given degree. Info. Sci. 54, 219-238 (1991)
-
(1991)
Info. Sci.
, vol.54
, pp. 219-238
-
-
Halton, J.1
-
27
-
-
84947928171
-
On Representations of some thickness-two graphs
-
Extended Abstract, F. Brandenburg: Graph Drawing '95 Berlin Heidelberg New York: Springer
-
Hutchinson, J., T. Shermer, Vince, A.: On Representations of some thickness-two graphs, Extended Abstract, Lecture Notes in Computer Science 1027, F. Brandenburg: Graph Drawing '95. pp. 324-332. Berlin Heidelberg New York: Springer 1996
-
(1996)
Lecture Notes in Computer Science 1027
, pp. 324-332
-
-
Hutchinson, J.1
Shermer, T.2
Vince, A.3
-
28
-
-
0016117886
-
Efficient planarity testing
-
Hopcroft, J., Tarjan, R.E.: Efficient planarity testing. J. ACM 21, 549-568 (1974)
-
(1974)
J. ACM
, vol.21
, pp. 549-568
-
-
Hopcroft, J.1
Tarjan, R.E.2
-
29
-
-
0010651208
-
Solving the maximum planar subgraph problem by branch and cut
-
Jünger, M., Mutzel, P.: Solving the maximum planar subgraph problem by branch and cut. Proc. 3rd IPCO Conf. Erice, 1993
-
(1993)
Proc. 3rd IPCO Conf. Erice
-
-
Jünger, M.1
Mutzel, P.2
-
30
-
-
0002066416
-
Maximum planar subgraph and nice embeddings: Practical layout tools
-
Jünger, M., Mutzel, P.: Maximum planar subgraph and nice embeddings: Practical layout tools, Algorithmica 16, No. 1 33-59 (1996)
-
(1996)
Algorithmica
, vol.16
, Issue.1
, pp. 33-59
-
-
Jünger, M.1
Mutzel, P.2
-
31
-
-
85034202353
-
The thickness of a minor-excluded class of graphs
-
Bled (to appear)
-
Jünger, M., Mutzel, P., Odenthal, T., Scharbrodt, M.: The thickness of a minor-excluded class of graphs, Discrete Mathematics, Special Volume on the Third Slovenian International Conference in Graph Theory, Bled (to appear 1997)
-
(1997)
Discrete Mathematics, Special Volume on the Third Slovenian International Conference in Graph Theory
, vol.SPECIAL VOLUME
-
-
Jünger, M.1
Mutzel, P.2
Odenthal, T.3
Scharbrodt, M.4
-
32
-
-
85034184858
-
-
personal communication
-
Jordan, E.: personal communication
-
-
-
Jordan, E.1
-
35
-
-
4043054553
-
Die Dicke des n-dimensionalen Würfel-Graphen
-
Kleinert, M.: Die Dicke des n-dimensionalen Würfel-Graphen. J. Comb. Theory 3, 10-15 (1967)
-
(1967)
J. Comb. Theory
, vol.3
, pp. 10-15
-
-
Kleinert, M.1
-
36
-
-
4043172160
-
The Problem of Computing a Maximal Planar Subgraph Using PQ-Trees is still not solved
-
ECMI'94, Kaiserslautern
-
Leipert, S.: The Problem of Computing a Maximal Planar Subgraph Using PQ-Trees is still not solved. Special proceedings for students pp. 95-110. ECMI'94, Kaiserslautern 1994
-
(1994)
Special Proceedings for Students
, pp. 95-110
-
-
Leipert, S.1
-
37
-
-
0004516327
-
On the deletion of nonplanar edges of a graph
-
FL: Boca Raton
-
Liu, P.C., Geldmacher, R.C.: On the deletion of nonplanar edges of a graph. Proc. 10th S-E Conf. Combinatorics, Graph Theory, and Computing, pp. 727-738. FL: Boca Raton 1997
-
(1997)
Proc. 10th S-E Conf. Combinatorics, Graph Theory, and Computing
, pp. 727-738
-
-
Liu, P.C.1
Geldmacher, R.C.2
-
38
-
-
84975969582
-
Determining the thickness of graphs is NP-hard
-
Mansfield, A.: Determining the thickness of graphs is NP-hard. Math. Proc. Cambridge Philos. Soc. 9, 9-23 (1983)
-
(1983)
Math. Proc. Cambridge Philos. Soc.
, vol.9
, pp. 9-23
-
-
Mansfield, A.1
-
39
-
-
0344526777
-
16 en Trois Graphes Planaires
-
16 en Trois Graphes Planaires, J. Comb. Theory Ser. B 13, 71 (1972)
-
(1972)
J. Comb. Theory Ser. B
, vol.13
, pp. 71
-
-
Mayer, J.1
-
40
-
-
84881100274
-
Edge-disjoint spanning trees of finite graphs
-
Nash-Williams, C.St.J.A.: Edge-disjoint spanning trees of finite graphs. J. London Math. Soc. 36, 445-450 (1961)
-
(1961)
J. London Math. Soc.
, vol.36
, pp. 445-450
-
-
Nash-Williams, C.St.J.A.1
-
41
-
-
84948340821
-
A graph-planarization algorithm and its application to random graphs
-
Ozawa, T., Takahashi, H.: A graph-planarization algorithm and its application to random graphs, Graph Theory and Algorithms, Lecture Notes in Computer Science 108, 95-107 (1981)
-
(1981)
Graph Theory and Algorithms, Lecture Notes in Computer Science
, vol.108
, pp. 95-107
-
-
Ozawa, T.1
Takahashi, H.2
-
42
-
-
0042143483
-
Die torodiale Dicke des vollständigen Graphen
-
Ringel, G.: Die torodiale Dicke des vollständigen Graphen. Math. Z. 87, 19-26 (1965)
-
(1965)
Math. Z.
, vol.87
, pp. 19-26
-
-
Ringel, G.1
-
45
-
-
4043143719
-
A construction of thickness-minimal graphs
-
Širáň, J., Horák, P.: A construction of thickness-minimal graphs. Discr. Math. 64, 262-268 (1987)
-
(1987)
Discr. Math.
, vol.64
, pp. 262-268
-
-
Širáň, J.1
Horák, P.2
-
46
-
-
0041770273
-
The non-biplanar character of the complete 9-graph
-
Tutte, W.T.: The non-biplanar character of the complete 9-graph. Canad. Math. Bull. 6, 319-330 (1963)
-
(1963)
Canad. Math. Bull.
, vol.6
, pp. 319-330
-
-
Tutte, W.T.1
-
47
-
-
0013509835
-
The thickness of a graph
-
Tutte, W.T.: The thickness of a graph. Indag. Math. 25, 567-577 (1963)
-
(1963)
Indag. Math.
, vol.25
, pp. 567-577
-
-
Tutte, W.T.1
-
48
-
-
85010512956
-
Über die Zerlegung des vollständigen Graphen in paare planare Graphen
-
H. Sachs: Leipzig: Teubner
-
Walther, H.: Über die Zerlegung des vollständigen Graphen in paare planare Graphen. In: H. Sachs: Beiträge zur Graphentheorie, pp. 189-205. Leipzig: Teubner 1968
-
(1968)
Beiträge zur Graphentheorie
, pp. 189-205
-
-
Walther, H.1
-
49
-
-
85039487178
-
On some variations of the thickness of a graph connected with colouring
-
Wessel, W.: On some variations of the thickness of a graph connected with colouring. In: Graphs and other combinatorial topics, Teubner Texte Math. 59 pp. 344-348, 1983
-
(1983)
Graphs and Other Combinatorial Topics, Teubner Texte Math.
, vol.59
, pp. 344-348
-
-
Wessel, W.1
|