Graphs on Higher Surfaces
暂无分享,去创建一个
[1] O. V. Borodin. Representing of K13 as a 2-pire map on the Klein bottle. , 1989 .
[2] Michael O. Albertson,et al. On Six‐Chromatic Toroidal Graphs , 1980 .
[3] Nora Hartsfield,et al. The splitting number of the complete graph , 1985, Graphs Comb..
[4] B. Grünbaum. Acyclic colorings of planar graphs , 1973 .
[5] G. Miller,et al. On deleting vertices to make a graph of positive genus planar , 1987 .
[6] G. Ringel. Ein Sechsfarbenproblem auf der Kugel , 1965 .
[7] P. Franklin. A Six Color Problem , 1934 .
[8] R. J. Cook,et al. Chromatic number and girth , 1975 .
[9] Joan P. Hutchinson,et al. Three-Coloring Graphs Embedded on Surfaces with All Faces Even-Sided , 1995, J. Comb. Theory, Ser. B.
[10] Michael O. Albertson,et al. On the independence ratio of a graph , 1978, J. Graph Theory.
[11] Bojan Mohar,et al. Coloring Graphs without Short Non-bounding Cycles , 1994, J. Comb. Theory, Ser. B.
[12] Steve Fisk. The nonexistence of colorings , 1978, J. Comb. Theory, Ser. B.
[13] N. Alon,et al. On acyclic colorings of graphs on surfaces , 1996 .
[14] D. A. Youngs. 4-chromatic projective graphs , 1996 .
[15] Carsten Thomassen. Five-Coloring Graphs on the Torus , 1994, J. Comb. Theory, Ser. B.
[16] Brad Jackson,et al. Heawood's empire problem , 1985, J. Comb. Theory, Ser. B.
[17] G. Ringel. Bestimmung der Maximalzahl der Nachbargebiete auf nichtorientierbaren Flächen , 1953 .
[18] J. Hutchinson,et al. Coloring Ordinary Maps, Maps of Empires, and Maps of the Moon , 1993 .
[19] J. Mitchem. Every planar graph has an acyclic $8$-coloring , 1974 .
[20] R. Isaacs. Infinite Families of Nontrivial Trivalent Graphs Which are not Tait Colorable , 1975 .
[21] Douglas R. Woodall,et al. Defective colorings of graphs in surfaces: Partitions into subgraphs of bounded valency , 1986, J. Graph Theory.
[22] Kenneth A. Berman,et al. The bounded chromatic number for graphs of genus g , 1992, J. Comb. Theory, Ser. B.
[23] Vladimir P. Korzhik. A Lower Bound for the One-Chromatic Number of a Surface , 1994, J. Comb. Theory, Ser. B.
[24] R. L. Woodburn. A 4-color theorem for the Klein Bottle , 1989, Discret. Math..
[25] G. Dirac. Map-Colour Theorems , 1952, Canadian Journal of Mathematics.
[26] Keith Edwards,et al. The complexity of some graph colouring problems , 1992, Discrete Applied Mathematics.
[27] L. Heffter. Ueber das Problem der Nachbargebiete , 1891 .
[28] H. Schumacher. On 2-Embeddable Graphs , 1990 .
[29] H. Joseph Straight. Note on the cochromatic number of several surfaces , 1980, J. Graph Theory.
[30] Carsten Thomassen,et al. Grötzsch's 3-Color Theorem and Its Counterparts for the Torus and the Projective Plane , 1994, J. Comb. Theory, Ser. B.
[31] Brad Jackson,et al. Maps of m-pires on the projective plane , 1983, Discret. Math..
[32] G. A. Dirac,et al. Short Proof of a Map-Colour Theorem , 1957, Canadian Journal of Mathematics.
[33] Herbert Taylor. Synchronization Patterns and Related Problems in Combinatorial Analysis and Graph Theory , 1981 .
[34] Nora Hartsfield,et al. Minimal quadrangulations of orientable surfaces , 1989, J. Comb. Theory, Ser. B.
[35] Oleg V. Borodin. Diagonal coloring of the vertices of triangulations , 1992, Discret. Math..
[36] H Von Schumacher. Ein 7-farbensatz 1-einbettbarer graphen auf der projektiven ebene , 1984 .
[37] G. A. Dirac,et al. Map Colour Theorems Related To the Heawood Colour Formula , 1956 .
[38] G. Ringel,et al. Solution of the heawood map-coloring problem. , 1968, Proceedings of the National Academy of Sciences of the United States of America.
[39] Jan Mycielski. Sur le coloriage des graphs , 1955 .
[40] Bojan Mohar. 7-critical Graphs of Bounded Genus , 1993, Discret. Math..
[41] Joan P. Hutchinson. A FIVE-COLOR THEOREM FOR GRAPHS ON SURFACES , 1984 .
[42] C. Thomassen,et al. Five-Coloring Maps on Surfaces , 1993, J. Comb. Theory, Ser. B.
[43] Don R. Lick,et al. The Point Partition Numbers of Closed 2-Manifolds , 1972 .
[44] Oleg V. Borodin. A new proof of the 6 color theorem , 1995, J. Graph Theory.
[45] Alexandr V. Kostochka,et al. Note to the paper of Grünbaum on acyclic colorings , 1976, Discret. Math..
[46] Oleg V. Borodin. Diagonal 11-coloring of plane triangulations , 1990, J. Graph Theory.
[47] M. Albertson,et al. Every planar graph has an acyclic 7-coloring , 1977 .
[48] H. Joseph Straight. Cochromatic Number and the Genus of a Graph , 1979, J. Graph Theory.
[49] Dan Archdeacon,et al. A note on defective colorings of graphs in surfaces , 1987, J. Graph Theory.
[50] Nora Hartsfield,et al. The toroidal splitting number of the complete graph Kn , 1986, Discret. Math..
[51] M. Albertson,et al. An acyclic analogue to Heawood's theorem , 1978 .
[52] A. K. Dewdney. The chromatic number of a class of pseudo-2-manifolds , 1972 .
[53] Michael O. Albertson,et al. THE THREE EXCLUDED CASES OF DIRAC'S MAP‐COLOR THEOREM 1 , 1979 .