-
1
-
-
0002227678
-
Restricted colorings of graphs
-
London Math. Soc. Lecture Note Ser. 187, Cambridge University Press, Cambridge
-
Alon, N., Restricted colorings of graphs. In Surveys in Combinatorics, London Math. Soc. Lecture Note Ser. 187, Cambridge University Press, Cambridge 1993, 1-33.
-
(1993)
Surveys in Combinatorics
, pp. 1-33
-
-
Alon, N.1
-
2
-
-
0000576339
-
Colorings and orientations of graphs
-
Alon, N., and Tarsi, M., Colorings and orientations of graphs. Combinatorica 12 (1992), 125-134.
-
(1992)
Combinatorica
, vol.12
, pp. 125-134
-
-
Alon, N.1
Tarsi, M.2
-
3
-
-
0001336132
-
Three observations on linear algebra
-
in Spanish
-
Birkhoff, G., Three observations on linear algebra. Univ.Nac. Tucumán. Revista A. 5 (1946), 147-151 (in Spanish).
-
(1946)
Univ.Nac.Tucumán. Revista A.
, vol.5
, pp. 147-151
-
-
Birkhoff, G.1
-
4
-
-
0003257405
-
Modern graph theory
-
Springer-Verlag, New York
-
Bollobás, B., Modern graph theory. Grad. Texts in Math. 184, Springer-Verlag, New York 1998.
-
(1998)
Grad. Texts in Math.
, vol.184
-
-
Bollobás, B.1
-
5
-
-
51249170707
-
List-colorings of graphs
-
Bollobás, B., and Harris, A. J., List-colorings of graphs. Graphs Combin. 1 (1985), 115-127.
-
(1985)
Graphs Combin.
, vol.1
, pp. 115-127
-
-
Bollobás, B.1
Harris, A.J.2
-
6
-
-
0003269285
-
Matrices of sign-solvable linear systems
-
Cambridge University Press, Cambridge
-
Brualdi, R. A., and Shader, B. L., Matrices of sign-solvable linear systems. Cambridge Tracts in Math. 116, Cambridge University Press, Cambridge 1995.
-
(1995)
Cambridge Tracts in Math.
, vol.116
-
-
Brualdi, R.A.1
Shader, B.L.2
-
7
-
-
0036266832
-
On a conjecture of Lovász concerning bricks. II. Bricks of finite characteristic
-
de Carvalho, M. H., Lucchesi, C. L., and Murty, U. S. R., On a conjecture of Lovász concerning bricks. II. Bricks of finite characteristic. J. Combin. Theory B 85 (2002), 137-180.
-
(2002)
J. Combin. Theory B
, vol.85
, pp. 137-180
-
-
De Carvalho, M.H.1
Lucchesi, C.L.2
Murty, U.S.R.3
-
8
-
-
16244369390
-
On the number of dissimilar Pfaffian orientations of graphs
-
de Carvalho, M. H., Lucchesi, C. L., and Murty, U. S. R., On the number of dissimilar Pfaffian orientations of graphs. Theor. Inform. Appl. 39 (2005), 93-113.
-
(2005)
Theor. Inform. Appl.
, vol.39
, pp. 93-113
-
-
De Carvalho, M.H.1
Lucchesi, C.L.2
Murty, U.S.R.3
-
9
-
-
84878096545
-
How to build a brick
-
to appear
-
de Carvalho, M. H., Lucchesi, C. L., and Murty, U. S. R., How to build a brick. Discrete Math., to appear
-
Discrete Math.
-
-
De Carvalho, M.H.1
Lucchesi, C.L.2
Murty, U.S.R.3
-
10
-
-
33750077026
-
Graph theory
-
Springer-Verlag, Berlin
-
Diestel, R., Graph Theory. Grad. Texts in Math. 173, Springer-Verlag, Berlin 2005.
-
(2005)
Grad. Texts in Math.
, vol.173
-
-
Diestel, R.1
-
11
-
-
0001853238
-
Highly connected sets and the excluded grid theorem
-
Diestel, R., Jensen, T. R., Gorbunov, K. Yu., and Thomassen, C., Highly connected sets and the excluded grid theorem. J. Combin. Theory Ser. B 75 (1999), 61-73.
-
(1999)
J. Combin. Theory Ser. B
, vol.75
, pp. 61-73
-
-
Diestel, R.1
Jensen, T.R.2
Gorbunov, K.Yu.3
Thomassen, C.4
-
12
-
-
0001214263
-
Maximum matching and a polyhedron with (0, 1) vertices
-
Edmonds, J., Maximum matching and a polyhedron with (0, 1) vertices. J. Res. Nat. Standards B 69 (1965), 125-130.
-
(1965)
J. Res. Nat. Standards B
, vol.69
, pp. 125-130
-
-
Edmonds, J.1
-
13
-
-
51249181400
-
Brick decompositions and matching rank of graphs
-
Edmonds, J., Lovász, L., and Pulleyblank, W. R., Brick decompositions and matching rank of graphs. Combinatorica 2 (1982), 247-274.
-
(1982)
Combinatorica
, vol.2
, pp. 247-274
-
-
Edmonds, J.1
Lovász, L.2
Pulleyblank, W.R.3
-
14
-
-
0041350909
-
List edge colourings of some 1-factorable multigraphs
-
Ellingham, M., and Goddyn, L., List edge colourings of some 1-factorable multigraphs. Combinatorica 16 (1996), 343-352.
-
(1996)
Combinatorica
, vol.16
, pp. 343-352
-
-
Ellingham, M.1
Goddyn, L.2
-
15
-
-
0035402508
-
A characterisation of Pfaffian near bipartite graphs
-
Fischer, I., and Little, C., A characterisation of Pfaffian near bipartite graphs. J. Combin. Theory Ser. B 82 (2001), 175-222.
-
(2001)
J. Combin. Theory Ser. B
, vol.82
, pp. 175-222
-
-
Fischer, I.1
Little, C.2
-
16
-
-
0001566238
-
Statistical mechanics of dimers on a plane lattice
-
Fisher, M. E., Statistical mechanics of dimers on a plane lattice. Phys. Rev. 124, 1664-1672.
-
Phys. Rev.
, vol.124
, pp. 1664-1672
-
-
Fisher, M.E.1
-
17
-
-
0042463264
-
On the theory of Pfaffian orientations I. Perfect matchings and permanents
-
Galluccio, A., and Loebl, M., On the theory of Pfaffian orientations I. Perfect matchings and permanents. Electron. J. Combin. 6 (1999).
-
(1999)
Electron. J. Combin.
, vol.6
-
-
Galluccio, A.1
Loebl, M.2
-
18
-
-
84878035311
-
-
private communication
-
Goddyn, L., private communication.
-
-
-
Goddyn, L.1
-
19
-
-
0006362327
-
Geometric algorithms and combinatorial optimization
-
Springer-Verlag, Berlin
-
Grötschel, M., Lovász, L., and Schrijver, A., Geometric algorithms and combinatorial optimization. Algorithms Combin. 2, Springer-Verlag, Berlin 1993.
-
(1993)
Algorithms Combin.
, vol.2
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
20
-
-
0000795148
-
Über wesentlich unplättbare Kurven im dreidimensionalen Raume
-
Hanani, H. (Chaim Chojnacki), Über wesentlich unplättbare Kurven im dreidimensionalen Raume. Fund. Math. 23 (1934), 135-142.
-
(1934)
Fund. Math.
, vol.23
, pp. 135-142
-
-
Hanani, H.1
-
21
-
-
0000113399
-
The statistics of dimers on a lattice. I. The number of dimer arrangements on a quadratic lattice
-
Kasteleyn, P.W., The statistics of dimers on a lattice. I. The number of dimer arrangements on a quadratic lattice. Physica 27 (1961), 1209-1225.
-
(1961)
Physica
, vol.27
, pp. 1209-1225
-
-
Kasteleyn, P.W.1
-
22
-
-
0001163746
-
Dimer statistics and phase transitions
-
Kasteleyn, P.W., Dimer statistics and phase transitions. J. Math. Phys. 4 (1963), 287-293.
-
(1963)
J. Math. Phys.
, vol.4
, pp. 287-293
-
-
Kasteleyn, P.W.1
-
23
-
-
0001834352
-
Graph theory and crystal physics
-
(ed. by F. Harary), Academic Press, New York
-
Kasteleyn, P. W., Graph theory and crystal physics. In Graph Theory and Theoretical Physics (ed. by F. Harary), Academic Press, New York 1967, 43-110.
-
(1967)
Graph Theory and Theoretical Physics
, pp. 43-110
-
-
Kasteleyn, P.W.1
-
24
-
-
0001129218
-
Sign-solvability revisited
-
Klee, V., Ladner, R., and Manber, R., Sign-solvability revisited. Linear Algebra Appl. 59 (1984), 131-158.
-
(1984)
Linear Algebra Appl.
, vol.59
, pp. 131-158
-
-
Klee, V.1
Ladner, R.2
Manber, R.3
-
25
-
-
84974001467
-
Fluxes Laplacians and Kasteleyn's theorem
-
Lieb, E. H., and Loss, M., Fluxes, Laplacians, and Kasteleyn's theorem. Duke Math. J. 71 (1993), 337-363.
-
(1993)
Duke Math. J.
, vol.71
, pp. 337-363
-
-
Lieb, E.H.1
Loss, M.2
-
26
-
-
0007128424
-
Kasteleyn's theorem and arbitrary graphs
-
Little, C. H. C., Kasteleyn's theorem and arbitrary graphs. Canad. J. Math. 25 (1973), 758-764.
-
(1973)
Canad. J. Math.
, vol.25
, pp. 758-764
-
-
Little, C.H.C.1
-
27
-
-
0000849965
-
A characterization of convertible (0, 1)-matrices
-
Little, C. H. C., A characterization of convertible (0, 1)-matrices. J. Combin. Theory Ser. B 18 (1975), 187-208.
-
(1975)
J. Combin. Theory Ser. B
, vol.18
, pp. 187-208
-
-
Little, C.H.C.1
-
28
-
-
0002143066
-
On chromatic number of finite set-systems
-
Lovász, L., On chromatic number of finite set-systems. Acta Math. Acad. Sci. Hungar. 19 (1968), 59-67.
-
(1968)
Acta Math. Acad. Sci. Hungar.
, vol.19
, pp. 59-67
-
-
Lovász, L.1
-
29
-
-
0000858907
-
Ear-decompositions of matching covered graphs
-
Lovász, L., Ear-decompositions of matching covered graphs. Combinatorica 2 (1983), 395-407.
-
(1983)
Combinatorica
, vol.2
, pp. 395-407
-
-
Lovász, L.1
-
30
-
-
84878049304
-
Some algorithmic problems on lattices
-
(ed. by L. Lovász and E. Szemerédi), Colloq. Math. Soc. Janos Bolyai 44, János Bolyai Mathematical Society, Budapest
-
Lovász, L., Some algorithmic problems on lattices. In Theory of Algorithms (ed. by L. Lovász and E. Szemerédi), Colloq. Math. Soc. Janos Bolyai 44, János Bolyai Mathematical Society, Budapest 1985, 323-337.
-
(1985)
Theory of Algorithms
, pp. 323-337
-
-
Lovász, L.1
-
31
-
-
0001347227
-
Matching structure and the matching lattice
-
Lovász, L., Matching structure and the matching lattice. J. Combin. Theory Ser. B 43 (1987), 187-222.
-
(1987)
J. Combin. Theory Ser. B
, vol.43
, pp. 187-222
-
-
Lovász, L.1
-
32
-
-
0003323270
-
Matching theory
-
Ann. of Discrete Math. 29, North-Holland, Amsterdam
-
Lovász, L., and Plummer, M., Matching theory. North-Holland Math. Stud. 121, Ann. of Discrete Math. 29, North-Holland, Amsterdam 1986.
-
(1986)
North-Holland Math. Stud.
, vol.121
-
-
Lovász, L.1
Plummer, M.2
-
33
-
-
23044518570
-
Even dicycles
-
McCuaig, W., Even dicycles. J. Graph Theory 35 (2000), 46-68.
-
(2000)
J. Graph Theory
, vol.35
, pp. 46-68
-
-
McCuaig, W.1
-
34
-
-
31244432111
-
Brace generation
-
McCuaig, W., Brace generation. J. Graph Theory 38 (2001), 124-169.
-
(2001)
J. Graph Theory
, vol.38
, pp. 124-169
-
-
McCuaig, W.1
-
35
-
-
9744219583
-
Pólya's permanent problem
-
McCuaig, W., Pólya's permanent problem. Electron. J. Combin. 11 (2004), 83pp.
-
(2004)
Electron. J. Combin.
, vol.11
-
-
McCuaig, W.1
-
36
-
-
0030699601
-
Permanents, Pfaffian orientations, and even directed circuits (Extended abstract)
-
ACM Press, New York
-
McCuaig, W., Robertson, N., Seymour, P. D., and Thomas, R., Permanents, Pfaffian orientations, and even directed circuits (Extended abstract). In Proceedings of the 29th annual Symposium on the Theory of Computing (STOC), ACM Press, New York 1997, 402-405.
-
(1997)
Proceedings of the 29th Annual Symposium on the Theory of Computing (STOC)
, pp. 402-405
-
-
McCuaig, W.1
Robertson, N.2
Seymour, P.D.3
Thomas, R.4
-
42
-
-
33646761659
-
Minimal bricks
-
Norine, S., and Thomas, R., Minimal bricks. J. Combin. Theory Ser. B 96 (4) (2006), 505-513.
-
(2006)
J. Combin. Theory Ser. B
, vol.96
, Issue.4
, pp. 505-513
-
-
Norine, S.1
Thomas, R.2
-
46
-
-
0002099583
-
Applications of negative-dimensional tensors
-
(ed. by D. J. A.Welsh), Academic Press, London
-
Penrose, R., Applications of negative-dimensional tensors. In Combinatorial Mathematics and its Applications (ed. by D. J. A.Welsh), Academic Press, London 1971, 221-244.
-
(1971)
Combinatorial Mathematics and Its Applications
, pp. 221-244
-
-
Penrose, R.1
-
49
-
-
0004455288
-
Quickly excluding a planar graph
-
Robertson, N., Seymour, P. D., and Thomas, R., Quickly excluding a planar graph. J. Combin. Theory Ser. B 62 (1994), 323-348.
-
(1994)
J. Combin. Theory Ser. B
, vol.62
, pp. 323-348
-
-
Robertson, N.1
Seymour, P.D.2
Thomas, R.3
-
50
-
-
0033235959
-
Permanents, Pfaffian orientations, and even directed circuits
-
Robertson, N., Seymour, P. D., and Thomas, R., Permanents, Pfaffian orientations, and even directed circuits. Math. Ann. 150 (1999), 929-975.
-
(1999)
Math. Ann.
, vol.150
, pp. 929-975
-
-
Robertson, N.1
Seymour, P.D.2
Thomas, R.3
-
52
-
-
77957183674
-
On the two-colouring of hypergraphs
-
Seymour, P. D., On the two-colouring of hypergraphs. Quart. J. Math. Oxford 25 (1974), 303-312.
-
(1974)
Quart. J. Math. Oxford
, vol.25
, pp. 303-312
-
-
Seymour, P.D.1
-
54
-
-
0001700106
-
Note on a theorem in geometry of position
-
Tait, P. G., Note on a theorem in geometry of position, Trans. Roy. Soc. Edinburgh 29 (1880), 657-660.
-
(1880)
Trans. Roy. Soc. Edinburgh
, vol.29
, pp. 657-660
-
-
Tait, P.G.1
-
55
-
-
84996204867
-
Dimer problem in statistical mechanics-an exact result
-
Temperley, H. N. V., and Fisher, M. E., Dimer problem in statistical mechanics-an exact result. Phil. Mag. 6 (1961), 1061-1063.
-
(1961)
Phil. Mag.
, vol.6
, pp. 1061-1063
-
-
Temperley, H.N.V.1
Fisher, M.E.2
-
56
-
-
0347113873
-
Matching in graphs on non-orientable surfaces
-
Tesler, G., Matching in graphs on non-orientable surfaces. J. Combin. Theory Ser. B 78 (2000), 198-231.
-
(2000)
J. Combin. Theory Ser. B
, vol.78
, pp. 198-231
-
-
Tesler, G.1
-
57
-
-
84990822691
-
Even cycles in directed graphs
-
Thomassen, C., Even cycles in directed graphs. European J. Combin. 6 (1985), 85-89.
-
(1985)
European J. Combin.
, vol.6
, pp. 85-89
-
-
Thomassen, C.1
-
58
-
-
0002529743
-
Sign-nonsingular matrices and even cycles in directed graphs
-
Thomassen, C., Sign-nonsingular matrices and even cycles in directed graphs. Linear Algebra Appl. 75 (1986), 27-41.
-
(1986)
Linear Algebra Appl.
, vol.75
, pp. 27-41
-
-
Thomassen, C.1
-
59
-
-
84968487214
-
The even cycle problem for directed graphs
-
Thomassen, C., The even cycle problem for directed graphs. J. Amer. Math. Soc. 5 (1992), 217-229.
-
(1992)
J. Amer. Math. Soc.
, vol.5
, pp. 217-229
-
-
Thomassen, C.1
-
60
-
-
38249002030
-
The even cycle problem for planar digraphs
-
Thomassen, C., The even cycle problem for planar digraphs. J. Algorithms 15 (1993), 61-75.
-
(1993)
J. Algorithms
, vol.15
, pp. 61-75
-
-
Thomassen, C.1
-
61
-
-
84960567433
-
The factorization of linear graphs
-
Tutte, W. T., The factorization of linear graphs. J. London Math. Soc. 22 (1947), 107-111.
-
(1947)
J. London Math. Soc.
, vol.22
, pp. 107-111
-
-
Tutte, W.T.1
-
62
-
-
0002156092
-
Toward a theory of crossing numbers
-
Tutte, W. T., Toward a theory of crossing numbers, J. Combin. Theory Ser. B 8 (1971), 45-53.
-
(1971)
J. Combin. Theory Ser. B
, vol.8
, pp. 45-53
-
-
Tutte, W.T.1
-
63
-
-
49249151236
-
The complexity of computing the permanent
-
Valiant, L. G., The complexity of computing the permanent. Theoret. Comput. Sci. 8 (1979), 189-201.
-
(1979)
Theoret. Comput. Sci.
, vol.8
, pp. 189-201
-
-
Valiant, L.G.1
-
64
-
-
38249006562
-
Pfaffian orientations, 0-1 permanents, and even cycles in directed graphs
-
Vazirani, V.V., andYannakakis, M., Pfaffian orientations, 0-1 permanents, and even cycles in directed graphs. Discrete Appl. Math. 25 (1989), 179-190.
-
(1989)
Discrete Appl. Math.
, vol.25
, pp. 179-190
-
-
Vazirani, V.V.1
Yannakakis, M.2
|