ON CLIQUE PARTITIONS OF SPLIT GRAPHS

被引：6
|
作者：
WALLIS, WD [1 ]
WU, J [1 ]
机构：
[1] QINGDAO UNIV, QINGDAO, PEOPLES R CHINA
来源：
DISCRETE MATHEMATICS | 1991年 / 92卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(91)90297-F
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Split graphs are graphs formed by taking a complete graph and an empty graph disjoint from it and some or all of the possible edges joining the two. We prove that the problem of deciding the clique partition number is NP-complete, even when restricted to the class of split graphs.
引用
收藏
页码：427 / 429
页数：3
相关论文
共 50 条
  • [1] Clique and anticlique partitions of graphs
    Brys, K
    Lonc, Z
    [J]. GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 1997, 1197 : 67 - 72
  • [2] Clique and anticlique partitions of graphs
    Brys, K
    Lonc, Z
    [J]. DISCRETE MATHEMATICS, 1998, 185 (1-3) : 41 - 49
  • [3] Eigenvalues and clique partitions of graphs
    Zhou, Jiang
    Bu, Changjiang
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2021, 129
  • [4] Clique coverings and partitions of line graphs
    Li, Bo-Jr
    Chang, Gerard J.
    [J]. DISCRETE MATHEMATICS, 2008, 308 (11) : 2075 - 2079
  • [5] Spectral radius and clique partitions of graphs
    Zhou, Jiang
    van Dam, Edwin R.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 630 : 84 - 94
  • [6] Matrix partitions of split graphs
    Feder, Tomas
    Hell, Pavol
    Shklarsky, Oren
    [J]. DISCRETE APPLIED MATHEMATICS, 2014, 166 : 91 - 96
  • [7] CLIQUE COVERINGS OF GRAPHS .5. MAXIMAL-CLIQUE PARTITIONS
    PULLMAN, NJ
    SHANK, H
    WALLIS, WD
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1982, 25 (03) : 337 - 356
  • [8] Unfriendly partitions for graphs not containing a subdivision of an infinite clique
    Eli Berger
    [J]. Combinatorica, 2017, 37 : 157 - 166
  • [9] Clique partitions of complements of forests and bounded degree graphs
    Cavers, Michael
    Verstraete, Jacques
    [J]. DISCRETE MATHEMATICS, 2008, 308 (10) : 2011 - 2017
  • [10] MAXIMAL-CLIQUE PARTITIONS OF INTERVAL-GRAPHS
    SHAOHAN, MA
    WALLIS, WD
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1988, 45 : 227 - 232
12345