THE MEAN CHROMATIC NUMBER OF PATHS AND CYCLES

被引:1
|
作者
ANTHONY, M
BIGGS, N
机构
[1] Department of Statistical and Mathematical Sciences, The London School of Economics, London
关键词
D O I
10.1016/0012-365X(93)90581-D
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The mean chromatic number of a graph is defined. This is a measure of the expected performance of the greedy vertex-colouring algorithm when each ordering of the vertices is equally likely. In this note, we analyse the asymptotic behaviour of the mean chromatic number for the paths and even cycles, using generating function techniques.
引用
收藏
页码:227 / 231
页数:5
相关论文
共 50 条
  • [21] Chromatic Number, Induced Cycles, and Non-separating Cycles
    Lyu, Hanbaek
    GRAPHS AND COMBINATORICS, 2020, 36 (05) : 1297 - 1310
  • [22] THE NUMBER OF SHORTEST CYCLES AND THE CHROMATIC UNIQUENESS OF A GRAPH
    TEO, CP
    KOH, KM
    JOURNAL OF GRAPH THEORY, 1992, 16 (01) : 7 - 15
  • [23] The b-chromatic number of powers of cycles
    Kohl, A. (kohl@informatik.htw-dresden.de), 2013, Discrete Mathematics and Theoretical Computer Science (15):
  • [24] Game chromatic number of graphs with locally bounded number of cycles
    Junosza-Szaniawski, Konstanty
    Rozej, Lukasz
    INFORMATION PROCESSING LETTERS, 2010, 110 (17) : 757 - 760
  • [25] A note on chromatic number and induced odd cycles
    Xu, Baogang
    Yu, Gexin
    Zha, Xiaoya
    ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (04):
  • [26] Real Number Labelings for Paths and Cycles
    Griggs, Jerrold R.
    Jin, Xiaohua Teresa
    INTERNET MATHEMATICS, 2007, 4 (01) : 65 - 86
  • [27] SUBGRAPH SUMMABILITY NUMBER OF PATHS AND CYCLES
    Cochran, David V.
    Doshi, Raj J.
    Larson-Koester, Miriam R.
    Ligo, Richard G.
    Narayan, Sivaram K.
    Webstert, Jordan D.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2012, 9 (02) : 135 - 143
  • [28] The b-chromatic number of powers of cycles
    Kohl, Anja
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2013, 15 (01): : 147 - 156
  • [29] On the radio number for corona of paths and cycles
    Niranjan, P. K.
    Kola, Srinivasa Rao
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) : 269 - 275
  • [30] DIGRAPHS WITH MAXIMUM NUMBER OF PATHS AND CYCLES
    PERL, Y
    NETWORKS, 1987, 17 (03) : 295 - 305