Sequential colorings and perfect graphs

被引:2
|
作者
Maffray, F [1 ]
Preissmann, M [1 ]
机构
[1] CNRS, Lab Leibniz, IMAG, F-38031 Grenoble, France
关键词
D O I
10.1016/S0166-218X(99)00026-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a variant of a sequential algorithm for coloring the vertices of a graph, using bichromatic exchanges, and exhibit a class of graphs which have the property that there is an ordering of the vertices such that this algorithm provides an optimal coloring for each induced ordered subgraph. These graphs are perfect and generalize several well-known classes of perfect graphs such as line-graphs of bipartite graphs or triangulated graphs. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:287 / 296
页数:10
相关论文
共 50 条
  • [1] SET COLORINGS IN PERFECT GRAPHS
    Gera, Ralucca
    Okamoto, Futaba
    Rasmussen, Craig
    Zhang, Ping
    [J]. MATHEMATICA BOHEMICA, 2011, 136 (01): : 61 - 68
  • [2] ON PERFECT COLORINGS OF INFINITE MULTIPATH GRAPHS
    Lisitsyna, M. A.
    Avgustinovich, S., V
    Parshina, O. G.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 2084 - 2095
  • [3] PERFECT ORIENTATION COLORINGS OF CUBIC GRAPHS
    Kireeva, Tatiana Evgenyevna
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2018, 15 : 1353 - 1360
  • [4] Perfect 2-colorings of Hamming graphs
    Bespalov, Evgeny A.
    Krotov, Denis S.
    Matiushev, Aleksandr A.
    Taranenko, Anna A.
    Vorob'ev, Konstantin V.
    [J]. JOURNAL OF COMBINATORIAL DESIGNS, 2021, 29 (06) : 367 - 396
  • [5] ON THE 2-EDGE-COLORINGS OF PERFECT GRAPHS
    HOANG, CT
    [J]. JOURNAL OF GRAPH THEORY, 1995, 19 (02) : 271 - 279
  • [6] 2-COLORINGS THAT DECOMPOSE PERFECT GRAPHS
    CHVATAL, V
    LENHART, WJ
    SBIHI, N
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1990, 49 (01) : 1 - 9
  • [7] The perfect colorings of circulant graphs with a large number of colors
    Lisitsyna, Mariya Aleksandrovna
    Avgustinovich, Sergey Vladimirovich
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2024, 21 (01): : 188 - 195
  • [8] Perfect 2-colorings of transitive cubic graphs
    Avgustinovich S.V.
    Lisitsyna M.A.
    [J]. Journal of Applied and Industrial Mathematics, 2011, 5 (4) : 519 - 528
  • [9] Perfect 3-colorings of cubic graphs of order 8
    Alaeiyan, M.
    Mehrabani, A.
    [J]. ARMENIAN JOURNAL OF MATHEMATICS, 2018, 10 (02): : 1 - 11
  • [10] Perfect 2-Colorings of k-Regular Graphs
    Piri, Farzaneh
    Semnani, Saeed Mohammadian
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (02): : 349 - 359