The entire coloring of series-parallel graphs

被引：0
|
作者：
Wu J.-L. [1 ]
Wu Y.-L. [2 ]
机构：
[1] School of Mathematics, Shandong University
[2] Dept. of Comp. Sci. and Engineering, The Chinese University of Hong Kong, Shatin
来源：
Acta Mathematicae Applicatae Sinica | 2005年 / 21卷 / 1期
基金：
中国国家自然科学基金;
关键词：
series-parallel graph; the entire coloring; the entire chromatic number; 05C15;
D O I：
10.1007/s10255-005-0215-1
中图分类号：
学科分类号：
摘要：
The entire chromatic number χ vef (G) of a plane graph G is the minimal number of colors needed for coloring vertices, edges and faces of G such that no two adjacent or incident elements are of the same color. Let G be a series-parallel plane graph, that is, a plane graph which contains no subgraphs homeomorphic to K 4. It is proved in this paper that χ vef (G) iÜ max{8, Δ(G) + 2} and χ vef (G) =Δ+1 if G is 2-connected and Δ(G) iÝ 6. © 2005 Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：61 / 66
页数：5
相关论文
共 50 条
  • [1] The Entire Coloring of Series-Parallel Graphs
    Jian-liang Wu~1
    [J]. Acta Mathematicae Applicatae Sinica, 2005, (01) : 61 - 66
  • [2] On the Coloring of Series-Parallel Graphs
    胡代强
    吴建良
    [J]. 数学进展, 1999, (02) : 183 - 184
  • [3] COLORING SERIES-PARALLEL GRAPHS
    SEYMOUR, PD
    [J]. COMBINATORICA, 1990, 10 (04) : 379 - 392
  • [4] Total coloring of series-parallel graphs
    Wu, JL
    Hu, DQ
    [J]. ARS COMBINATORIA, 2004, 73 : 215 - 217
  • [5] EDGE-COLORING SERIES-PARALLEL GRAPHS
    CASPI, Y
    DEKEL, E
    [J]. JOURNAL OF ALGORITHMS, 1995, 18 (02) : 296 - 321
  • [6] Fractional, Circular, and Defective Coloring of Series-Parallel Graphs
    Goddard, Wayne
    Xu, Honghai
    [J]. JOURNAL OF GRAPH THEORY, 2016, 81 (02) : 146 - 153
  • [7] The equitable edge-coloring of series-parallel graphs
    Song, Huimin
    Wu, Jianliang
    Liu, Guizhen
    [J]. COMPUTATIONAL SCIENCE - ICCS 2007, PT 3, PROCEEDINGS, 2007, 4489 : 457 - +
  • [8] A linear algorithm for edge-face coloring series-parallel graphs
    Wu, Jian-Liang
    Wang, Ping
    [J]. COMPUTATIONAL SCIENCE - ICCS 2007, PT 3, PROCEEDINGS, 2007, 4489 : 389 - +
  • [9] Scheduling with precedence constraints:: Mixed graph coloring in series-parallel graphs
    Furmanczyk, Hanna
    Kosowski, Adrian
    Zylinski, Pawel
    [J]. PARALLEL PROCESSING AND APPLIED MATHEMATICS, 2008, 4967 : 1001 - +
  • [10] PARALLEL RECOGNITION OF SERIES-PARALLEL GRAPHS
    EPPSTEIN, D
    [J]. INFORMATION AND COMPUTATION, 1992, 98 (01) : 41 - 55
12345