-
1
-
-
0003415652
-
-
Addison-Wesley Publishing Co., Reading, Massachusetts
-
A.V. AHO, J.E. HOPCROFT, AND J.D. ULLMAN The Design and Analysis of Computer Algorithms, Addison-Wesley Publishing Co., Reading, Massachusetts, 1974.
-
(1974)
The Design and Analysis of Computer Algorithms
-
-
Aho, A.V.1
Hopcroft, J.E.2
Ullman, J.D.3
-
3
-
-
0041074217
-
-
Univ. Manitoba, Winnipeg, Man, Congressus Numerantium, XX, Utilitas Mathematica, Winnipeg, Man
-
F. ALLAIRE, Another proof of the four colour theorem, Proceedings of the Seventh Manitoba Conference on Numerical Mathematics and Computing (Univ. Manitoba, Winnipeg, Man., 1977), pp. 3-72, Congressus Numerantium, XX, Utilitas Mathematica, Winnipeg, Man., 1978.
-
(1977)
Another proof of the four colour theorem, Proceedings of the Seventh Manitoba Conference on Numerical Mathematics and Computing
, pp. 3-72
-
-
Allaire, F.1
-
4
-
-
84972498411
-
Every planar map is four colorable, part I: Discharging
-
K. APPEL AND W. HAKEN, Every planar map is four colorable, part I: discharging, Illinois Journal of Mathematics 21 (1977), pp. 429-490.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, pp. 429-490
-
-
Appel, K.1
Haken, W.2
-
5
-
-
84972500815
-
Every planar map is four colorable, part II: Reducibility
-
K. APPEL AND W. HAKEN, Every planar map is four colorable, part II: reducibility, Illinois Journal of Mathematics 21 (1977), pp. 491-456.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, pp. 456-491
-
-
Appel, K.1
Haken, W.2
-
6
-
-
0000629168
-
A Kuratowski theorem for the projective plane
-
D. ARCHDEACON, A Kuratowski theorem for the projective plane, Journal of Graph Theory 5 (1981), pp. 243-246.
-
(1981)
Journal of Graph Theory
, vol.5
, pp. 243-246
-
-
Archdeacon, D.1
-
7
-
-
85053097355
-
An efficient algorithm for colouring the edges of a graph with δ + 1 colours
-
University of New Brunswick
-
E. ARJOMANDI, An efficient algorithm for colouring the edges of a graph with δ + 1 colours, Discrete Mathematical Analysis and Combinatorial Computation, University of New Brunswick, 1980, pp. 108-132.
-
(1980)
Discrete Mathematical Analysis and Combinatorial Computation
, pp. 108-132
-
-
Arjomandi, E.1
-
9
-
-
0004242420
-
-
second edition, Cambridge University Press, Cambridge
-
N. BIGGS Algebraic Graph Theory, second edition, Cambridge University Press, Cambridge, 1993.
-
(1993)
Algebraic Graph Theory
-
-
Biggs, N.1
-
14
-
-
0004249508
-
-
North-Holland Publishing Co., Amsterdam
-
C. BERGE Graphs and Hypergraphs, North-Holland Publishing Co., Amsterdam, 1979.
-
(1979)
Graphs and Hypergraphs
-
-
Berge, C.1
-
16
-
-
0000652462
-
New finite pivoting rules for the simplex method
-
R.G. BLAND, New finite pivoting rules for the simplex method. Mathematics of Operations Research 2 (1977), 103-107.
-
(1977)
Mathematics of Operations Research
, vol.2
, pp. 103-107
-
-
Bland, R.G.1
-
20
-
-
0018456690
-
New methods to color the vertices of a graph
-
D. BRELAZ, New methods to color the vertices of a graph, Communications ACM 22 (1970), pp. 251-256.
-
(1970)
Communications ACM
, vol.22
, pp. 251-256
-
-
Brelaz, D.1
-
23
-
-
0346782947
-
Graphs with prescribed connectivities
-
Ed. P. Erdös and G. Katona, Academic Press
-
G. CHARTRAND AND F. HARARY, Graphs with prescribed connectivities, in, Theory of Graphs, Proceedings Tihany, 1966, Ed. P. Erdös and G. Katona, Academic Press, 1968, pp. 61-63.
-
(1968)
Theory of Graphs, Proceedings Tihany, 1966
, pp. 61-63
-
-
Chartrand, G.1
Harary, F.2
-
31
-
-
0002911326
-
Programming of independent activities, II, mathematical model
-
G.B. DANTZIG, Programming of independent activities, II, mathematical model. Econometrics 17 (1949), pp. 200-211.
-
(1949)
Econometrics
, vol.17
, pp. 200-211
-
-
Dantzig, G.B.1
-
32
-
-
0002910922
-
Programming of independent activities, II, mathematical model
-
ed. T.C. Koopermans, John Wiley & Sons, New York
-
G.B. DANTZIG, Programming of independent activities, II, mathematical model, in Activative of Production and Allocations, ed. T.C. Koopermans, John Wiley & Sons, New York, 1951, pp. 19-32.
-
(1951)
Activative of Production and Allocations
, pp. 19-32
-
-
Dantzig, G.B.1
-
35
-
-
0003677229
-
-
Graduate Texts in Mathematics 173, Springer-Verlag, New York, Berlin, Heidelberg
-
R. DIESTEL Graph Theory, Graduate Texts in Mathematics 173, Springer-Verlag, New York, Berlin, Heidelberg, 1997.
-
(1997)
Graph Theory
-
-
Diestel, R.1
-
37
-
-
0040957721
-
A combinatorial representation for polyhedral surfaces
-
J.R. EDMONDS, A combinatorial representation for polyhedral surfaces, Notices American Mathematical Society 7 (1960), pp. 646.
-
(1960)
Notices American Mathematical Society
, vol.7
, pp. 646
-
-
Edmonds, J.R.1
-
38
-
-
0000927535
-
Paths, trees, and flowers
-
J.R. EDMONDS, Paths, trees, and flowers, Canadian Journal of Mathematics 17 (1965), pp. 449-467.
-
(1965)
Canadian Journal of Mathematics
, vol.17
, pp. 449-467
-
-
Edmonds, J.R.1
-
39
-
-
0015330635
-
Theoretical improvements in algorithmic efficiency for network flow problems
-
J.R. EDMONDS AND R.M. KARP, Theoretical improvements in algorithmic efficiency for network flow problems, Journal of the Association of Computing Machinery 19 (1972), pp. 248-264.
-
(1972)
Journal of the Association of Computing Machinery
, vol.19
, pp. 248-264
-
-
Edmonds, J.R.1
Karp, R.M.2
-
40
-
-
0004201430
-
-
Computer Science Press, Potomac, Maryland
-
S. EVEN Graph Algorithms, Computer Science Press, Potomac, Maryland, 1979.
-
(1979)
Graph Algorithms
-
-
Even, S.1
-
41
-
-
84987485509
-
Computing the orientable genus of projective graphs
-
J.R. FIEDLER, J.P. HUNEKE, R.B. RICHTER, AND N. ROBERTSON, Computing the orientable genus of projective graphs, Journal of Graph Theory 20 (1995), pp. 297-308.
-
(1995)
Journal of Graph Theory
, vol.20
, pp. 297-308
-
-
Fiedler, J.R.1
Huneke, J.P.2
Richter, R.B.3
Robertson, N.4
-
42
-
-
0043142130
-
Colorations des aretes d’un graphe
-
J-C. FOURNIER, Colorations des aretes d’un graphe, Cahiers du CERO 15 (1973), pp. 311-314.
-
(1973)
Cahiers du CERO
, vol.15
, pp. 311-314
-
-
Fournier, J.-C.1
-
44
-
-
0347208954
-
-
Prindle, Weber, & Schmidt, Inc., Boston
-
M. FRÉCHET AND KY FAN Initiation to Combinatorial Topology, Prindle, Weber, & Schmidt, Inc., Boston, 1967.
-
(1967)
Initiation to Combinatorial Topology
-
-
Fréchet, M.1
Ky, F.A.N.2
-
45
-
-
85052442701
-
An introduction to balanced network flows
-
Ohio State University, Math. Res. Inst. Publ
-
C. FREMUTH-PAEGER AND D. JUNGNICKEL, An introduction to balanced network flows, in Codes and Designs, Ohio State University, Math. Res. Inst. Publ. 10 (2000), pp. 125-144.
-
(2000)
Codes and Designs
, vol.10
, pp. 125-144
-
-
Fremuth-Paeger, C.1
Jungnickel, D.2
-
46
-
-
84861595866
-
-
Mathematical Association of America, Washington, D.C
-
D.R. FULKERSON, ED., Studies in Graph Theory, Parts I and II, Mathematical Association of America, Washington, D.C., 1975.
-
(1975)
Studies in Graph Theory, Parts I and II
-
-
Fulkerson, D.R.1
-
50
-
-
0003603813
-
-
W.H. Freeman, San Francisco, California
-
M.R. GAREY AND D.S. JOHNSON Computers and Intractability, A Guide to the Theory of NP-Completeness, W.H. Freeman, San Francisco, California, 1979.
-
(1979)
Computers and Intractability, A Guide to the Theory of NP-Completeness
-
-
Garey, M.R.1
Johnson, D.S.2
-
53
-
-
0003424777
-
-
Benjamin/Cummings Publishing, Menlo Park, California
-
R. GOULD Graph Theory, Benjamin/Cummings Publishing, Menlo Park, California, 1988.
-
(1988)
Graph Theory
-
-
Gould, R.1
-
57
-
-
0004273452
-
-
Addison- Wesley Publishing Co
-
G. HADLEY, Linear programming, Addison- Wesley Publishing Co., 1962.
-
(1962)
Linear programming
-
-
Hadley, G.1
-
59
-
-
0003780715
-
-
Addison-Wesley Publishing Co., Reading, Massachusetts
-
F. HARARY Graph Theory, Addison-Wesley Publishing Co., Reading, Massachusetts, 1972.
-
(1972)
Graph Theory
-
-
Harary, F.1
-
60
-
-
34447588722
-
Über das Problem der Nachbargebiete
-
L. HEFFTER, Über das Problem der Nachbargebiete, Mathematisce Annalen 38 (1891), pp. 477-508.
-
(1891)
Mathematisce Annalen
, vol.38
, pp. 477-508
-
-
Heffter, L.1
-
64
-
-
0000429528
-
The NP-completeness of edge-coloring
-
I. HOLYER, The NP-completeness of edge-coloring, SIAM Journal of Computing 10 (1981), pp. 718-720.
-
(1981)
SIAM Journal of Computing
, vol.10
, pp. 718-720
-
-
Holyer, I.1
-
67
-
-
84976669902
-
Algorithm 447: Efficient algorithms for graph manipulation
-
J. HOPCROFT AND R.E. TARJAN, Algorithm 447: efficient algorithms for graph manipulation, CACM 16 (1973), pp. 372-378.
-
(1973)
CACM
, vol.16
, pp. 372-378
-
-
Hopcroft, J.1
Tarjan, R.E.2
-
68
-
-
0001243769
-
Dividing a graph into triconnected components
-
J. HOPCROFT AND R.E. TARJAN, Dividing a graph into triconnected components, SIAM Journal of Computing 2 (1973), pp. 135-158.
-
(1973)
SIAM Journal of Computing
, vol.2
, pp. 135-158
-
-
Hopcroft, J.1
Tarjan, R.E.2
-
69
-
-
0008441919
-
Worst case behavior of graph coloring algorithms
-
D.S. JOHNSON, Worst case behavior of graph coloring algorithms, Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Congressus Numerantium 10 (1974), pp. 513-527.
-
(1974)
Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Congressus Numerantium
, vol.10
, pp. 513-527
-
-
Johnson, D.S.1
-
70
-
-
0003037529
-
Reducibility among combinatorial problems
-
eds. R.E. Miller and J.W Thatcher, Plenum Press, New York
-
R.M. KARP, Reducibility among combinatorial problems, in Complexity of Computer Computations, eds. R.E. Miller and J.W Thatcher, Plenum Press, New York, 1972, pp. 85-103.
-
(1972)
Complexity of Computer Computations
, pp. 85-103
-
-
Karp, R.M.1
-
71
-
-
0000564361
-
A polynomial algorithm in linear programing
-
(English translation: Soviet Mathematics Doklady 20 (1979), 191-194
-
L.G. KHACHIAN, A polynomial algorithm in linear programing, Doklady Adademiia Nauk SSR 224 (1979), 1093-1096. (English translation: Soviet Mathematics Doklady 20 (1979), 191-194.)
-
(1979)
Doklady Adademiia Nauk SSR
, vol.224
, pp. 1093-1096
-
-
Khachian, L.G.1
-
72
-
-
0001849163
-
HOW good is the simplex algorithm?
-
ed. O. Shisha, Acdemic Press, New York
-
V. KLEE AND G.J. MINTY, HOW good is the simplex algorithm?, in Inequalities-III, ed. O. Shisha, Acdemic Press, New York, pp. 159-175, 1972.
-
(1972)
Inequalities-III
, pp. 159-175
-
-
Klee, V.1
Minty, G.J.2
-
73
-
-
33644663847
-
A constructive proof of Kuratowski’s theorem
-
W. KLOTZ, A constructive proof of Kuratowski’s theorem, Ars Combinatoria, 28 (1989), pp. 51-54.
-
(1989)
Ars Combinatoria
, vol.28
, pp. 51-54
-
-
Klotz, W.1
-
74
-
-
0003657590
-
-
Addison-Wesley Publishing Co., Reading, Massachusetts
-
D.E. KNUTH The Art of Computer Programming, Addison-Wesley Publishing Co., Reading, Massachusetts, 1973.
-
(1973)
The Art of Computer Programming
-
-
Knuth, D.E.1
-
75
-
-
0003657594
-
-
Addison Wesley Publishing Co., Reading, Massachusetts
-
D.E. KNUTH Searching and Sorting, Addison Wesley Publishing Co., Reading, Massachusetts, 1973.
-
(1973)
Searching and Sorting
-
-
Knuth, D.E.1
-
77
-
-
38249011374
-
An extension of the multi-path algorithm for finding hamilton cycles
-
W. KOCAY, An extension of the multi-path algorithm for finding hamilton cycles, Discrete Mathematics 101, (1992), pp. 171-188.
-
(1992)
Discrete Mathematics
, vol.101
, pp. 171-188
-
-
Kocay, W.1
-
78
-
-
34247597589
-
An algorithm for finding a long path in a graph
-
W. KOCAY AND PAK-CHING LI, An algorithm for finding a long path in a graph, Utilitas Mathematica 45 (1994) pp. 169-185.
-
(1994)
Utilitas Mathematica
, vol.45
, pp. 169-185
-
-
Kocay, W.1
Pak-Ching, L.I.2
-
79
-
-
0007413229
-
An algorithm for constructing a planar layout of a graph with a regular polygon as outer face
-
W. KOCAY AND C. PANTEL, An algorithm for constructing a planar layout of a graph with a regular polygon as outer face, Utilitas Mathematica 48 (1995), pp. 161-178.
-
(1995)
Utilitas Mathematica
, vol.48
, pp. 161-178
-
-
Kocay, W.1
Pantel, C.2
-
81
-
-
0003460091
-
-
CRC Press, Boca Raton, Florida
-
D.L. KREHER AND D.R. STINSON Combinatorial Algorithms: Generation, Enumeration and Search, CRC Press, Boca Raton, Florida, 2000.
-
(2000)
Combinatorial Algorithms: Generation, Enumeration and Search
-
-
Kreher, D.L.1
Stinson, D.R.2
-
82
-
-
0000157130
-
Sur le problème des curbes gauche en topologie
-
C. KURATOWSKI, Sur le problème des curbes gauche en topologie, Fund. Math. 15 (1930), pp. 271-283.
-
(1930)
Fund. Math.
, vol.15
, pp. 271-283
-
-
Kuratowski, C.1
-
83
-
-
0003408279
-
-
John Wiley & Sons, Essex, U.K
-
E.L. LAWLER, J.K. LENSTRA, A.H.G. RINNOOY KAN, AND D.B. SHMOYS, EDS., The Traveling Salesman Problem, John Wiley & Sons, Essex, U.K., 1990.
-
(1990)
The Traveling Salesman Problem
-
-
Lawler, E.L.1
Lenstra, J.K.2
Rinnooy Kan, A.H.G.3
Shmoys, D.B.4
-
84
-
-
0012883416
-
Three short proofs in graph theory
-
L. LOVÀSZ, Three short proofs in graph theory, Journal of Combinatorial Theory (B) 19 (1975), pp. 111-113.
-
(1975)
Journal of Combinatorial Theory (B)
, vol.19
, pp. 111-113
-
-
Lovàsz, L.1
-
86
-
-
85052447424
-
-
Charles Babbage Research Centre, St. Pierre, Manitoba
-
D. MCCARTHY AND R.G. STANTON, EDS., Selected Papers of W.T Tutte, Charles Babbage Research Centre, St. Pierre, Manitoba, 1979.
-
(1979)
Selected Papers of W.T Tutte
-
-
McCarthy, D.1
Stanton, R.G.2
-
87
-
-
38249001131
-
Projective planarity in linear time
-
B. MOHAR, Projective planarity in linear time, Journal of Algorithms 15 (1993), pp. 482-502.
-
(1993)
Journal of Algorithms
, vol.15
, pp. 482-502
-
-
Mohar, B.1
-
89
-
-
0003894228
-
-
Holt, Rinehart, and Winston, New York
-
J.W. MOON Topics on Tournaments, Holt, Rinehart, and Winston, New York, 1968.
-
(1968)
Topics on Tournaments
-
-
Moon, J.W.1
-
90
-
-
85053098059
-
-
personal communication
-
W. MYRVOLD, personal communication, 2004.
-
(2004)
-
-
Myrvold, W.1
-
91
-
-
85052450500
-
Simpler projective planar embedding
-
to appear
-
W. MYRVOLD AND J. ROTH, Simpler projective planar embedding, Ars Combinatoria, to appear.
-
Ars Combinatoria
-
-
Myrvold, W.1
Roth, J.2
-
95
-
-
0000893747
-
Neuer Beweis eines Satzes über Permutationen
-
H. PRÜFER, Neuer Beweis eines Satzes über Permutationen, Arch. Math. Phys. 27 (1918), pp. 742-744.
-
(1918)
Arch. Math. Phys.
, vol.27
, pp. 742-744
-
-
Prüfer, H.1
-
96
-
-
0004236671
-
-
Holt, Rinehart, Winston, New York
-
P.W. PURDOM, JR. AND CA. BROWN The Analysis of Algorithms, Holt, Rinehart, Winston, New York, 1985.
-
(1985)
The Analysis of Algorithms
-
-
Purdom, P.W.1
Brown, C.A.2
-
99
-
-
84939714005
-
Graph theory algorithms
-
ed. Bernard Harris, Academic Press, New York
-
R.C. READ, Graph theory algorithms, in Graph Theory and its Applications, ed. Bernard Harris, Academic Press, New York, 1970, pp. 51-78.
-
(1970)
Graph Theory and its Applications
, pp. 51-78
-
-
Read, R.C.1
-
100
-
-
0007384789
-
A new method for drawing a planar graph given the cyclic order of the edges at each vertex
-
R.C. READ, A new method for drawing a planar graph given the cyclic order of the edges at each vertex, Congressus Numerantium 56 (1987), pp. 31-44.
-
(1987)
Congressus Numerantium
, vol.56
, pp. 31-44
-
-
Read, R.C.1
-
103
-
-
0001814458
-
Graph minors-a survey
-
Proceedings of the Tenth British Combinatorial Conference, (I. Anderson, ed.), London Math. Society Lecture Notes 103, Cambridge
-
N. ROBERTSON AND P.D. SEYMOUR, Graph minors-a survey, in Surveys in Combinatorics 1985, Proceedings of the Tenth British Combinatorial Conference, (I. Anderson, ed.), London Math. Society Lecture Notes 103, Cambridge, 1985, pp. 153-171.
-
(1985)
Surveys in Combinatorics 1985
, pp. 153-171
-
-
Robertson, N.1
Seymour, P.D.2
-
104
-
-
0031146074
-
The four-colour theorem
-
N. ROBERTSON, D.P. SANDERS, R SEYMOUR, AND R. THOMAS, The four-colour theorem, Journal of Combinatorial Theory (B) 70 (1997), pp. 2-44.
-
(1997)
Journal of Combinatorial Theory (B)
, vol.70
, pp. 2-44
-
-
Robertson, N.1
Sanders, D.P.2
Seymour, R.3
Thomas, R.4
-
105
-
-
0016116790
-
A search procedure for hamilton paths and circuits
-
F. RUBIN, A search procedure for hamilton paths and circuits, JACM 21 (1974), pp. 576-580.
-
(1974)
JACM
, vol.21
, pp. 576-580
-
-
Rubin, F.1
-
108
-
-
0004286902
-
-
Addison-Wesley Publishing Co., Boston
-
R. SEDGEWICK Algorithms in C++, Addison-Wesley Publishing Co., Boston, 1998.
-
(1998)
Algorithms in C++
-
-
Sedgewick, R.1
-
111
-
-
0001790593
-
Depth-first search and linear graph algorithms
-
R.E. TARJAN, Depth-first search and linear graph algorithms, SIAM Journal of Computing 1 (1972) pp. 146-160.
-
(1972)
SIAM Journal of Computing
, vol.1
, pp. 146-160
-
-
Tarjan, R.E.1
-
113
-
-
38249026284
-
The graph genus problem is NP-complete
-
C. THOMASSEN, The graph genus problem is NP-complete, Journal of Algorithms 10 (1989), pp. 568-576.
-
(1989)
Journal of Algorithms
, vol.10
, pp. 568-576
-
-
Thomassen, C.1
-
114
-
-
85025535620
-
Planarity and duality of finite and infinite graphs
-
C. THOMASSEN, Planarity and duality of finite and infinite graphs, Journal of Combinatorial Theory (B) 29 (1980), pp. 244-271.
-
(1980)
Journal of Combinatorial Theory (B)
, vol.29
, pp. 244-271
-
-
Thomassen, C.1
-
123
-
-
0003816844
-
-
Prentice Hall, Upper Saddle River, New Jersey
-
D.B. WEST Graph Theory, Prentice Hall, Upper Saddle River, New Jersey, 1996.
-
(1996)
Graph Theory
-
-
West, D.B.1
-
126
-
-
0010764232
-
Embedding graphs in the plane algorithmic aspects
-
S.G. WILLIAMSON, Embedding graphs in the plane algorithmic aspects, Annals of Discrete Mathematics 6 (1980), pp. 349-384.
-
(1980)
Annals of Discrete Mathematics
, vol.6
, pp. 349-384
-
-
Williamson, S.G.1
|