Circular chromatic number and graph minors

被引：9
|
作者：
Zhu, XD [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 80424, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 04期
关键词：
K-n-minor free; Hadwiger's conjecture; circular chromatic number;
D O I：
10.11650/twjm/1500407298
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proves that for any integer n greater than or equal to 4 and any rational number r, 2 less than or equal to r less than or equal to n - 2, there exists a graph G which has circular chromatic number r and which does not contain K-n as a minor.
引用
收藏
页码：643 / 660
页数：18
相关论文
共 50 条
  • [41] CHROMATIC NUMBER OF A GRAPH WITH SPECIFIED SKEWNESS
    KAINEN, PC
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A653 - A653
  • [42] ON TOTAL CHROMATIC NUMBER OF OUTERPLANAR GRAPH
    ZHANG, ZF
    ZHANG, JX
    WANG, JF
    KEXUE TONGBAO, 1987, 32 (17): : 1223 - 1223
  • [43] ON THE AI,BI CHROMATIC NUMBER OF A GRAPH
    WINTER, PA
    ARS COMBINATORIA, 1987, 23A : 303 - 314
  • [44] TOTAL DOMINATOR CHROMATIC NUMBER OF A GRAPH
    Kazemi, Adel P.
    TRANSACTIONS ON COMBINATORICS, 2015, 4 (02) : 57 - 68
  • [45] CHROMATIC NUMBER OF SUBGRAPHS OF A GIVEN GRAPH
    RODL, V
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 64 (02) : 370 - 371
  • [46] The eternal game chromatic number of a graph
    Klostermeyer, William F.
    Mendoza, Hannah
    Journal of Combinatorial Mathematics and Combinatorial Computing, 2021, 116 : 13 - 25
  • [47] Eigenvalues and chromatic number of a signed graph
    Wang, Wei
    Yan, Zhidan
    Qian, Jianguo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 619 : 137 - 145
  • [48] Locating Chromatic Number of Palm Graph
    Welyyanti, Des
    Taufiqurrahman, Ibrahim
    Permana, Dony
    Zahra, Rifda Sasmi
    Yulianti, Lyra
    IAENG International Journal of Applied Mathematics, 2024, 54 (10) : 1969 - 1975
  • [49] Odd Chromatic Number of Graph Classes
    Belmonte, Remy
    Harutyunyan, Ararat
    Kohler, Noleen
    Melissinos, Nikolaos
    GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, WG 2023, 2023, 14093 : 44 - 58
  • [50] ON TOTAL CHROMATIC NUMBER OF OUTERPLANAR GRAPH
    张忠辅
    张建勋
    王建方
    ScienceBulletin, 1987, (17) : 1223 - 1223
12345