Star Partitions of Perfect Graphs

被引:0
|
作者
van Bevern, Rene [1 ]
Bredereck, Robert [1 ]
Bulteau, Laurent [1 ]
Chen, Jiehua [1 ]
Froese, Vincent [1 ]
Niedermeier, Rolf [1 ]
Woeginger, Gerhard J. [2 ]
机构
[1] TU Berlin, Inst Softwaretech & Theoret Informat, Berlin, Germany
[2] TU Eindhoven, Dept Math & Comp Sci, Eindhoven, Netherlands
关键词
BIPARTITE GRAPHS; CHORDAL GRAPHS; PATH PARTITION; COMPLEXITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The partition of graphs into nice subgraphs is a central algorithmic problem with strong ties to matching theory. We study the partitioning of undirected graphs into stars, a problem known to be NP-complete even for the case of stars on three vertices. We perform a thorough computational complexity study of the problem on subclasses of perfect graphs and identify several polynomial-time solvable cases, for example, on interval graphs and bipartite permutation graphs, and also NP-hard cases, for example, on grid graphs and chordal graphs.
引用
收藏
页码:174 / 185
页数:12
相关论文
共 50 条
  • [41] Biased Partitions and Judicious k-Partitions of Graphs
    Zeng, Qing Hou
    Hou, Jian Feng
    Deng, Jin
    Lei, Xia
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (05) : 668 - 680
  • [42] Biased partitions and judicious k-partitions of graphs
    Qing Hou Zeng
    Jian Feng Hou
    Jin Deng
    Xia Lei
    [J]. Acta Mathematica Sinica, English Series, 2017, 33 : 668 - 680
  • [43] Biased Partitions and Judicious k-Partitions of Graphs
    Qing Hou ZENG
    Jian Feng HOU
    Jin DENG
    Xia LEI
    [J]. Acta Mathematica Sinica,English Series, 2017, (05) : 668 - 680
  • [44] CRITICAL PERFECT GRAPHS AND PERFECT 3-CHROMATIC GRAPHS
    TUCKER, A
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1977, 23 (01) : 143 - 149
  • [45] Perfect partitions of convex sets in the plane
    Kaneko, A
    Kano, M
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2002, 28 (02) : 211 - 222
  • [46] Perfect Partitions of Convex Sets in the Plane
    [J]. Discrete & Computational Geometry, 2002, 28 : 211 - 222
  • [47] GROUP PARTITIONS AND MIXED PERFECT CODES
    LINDSTROM, B
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1975, 18 (01): : 57 - 60
  • [48] Star factorizations and noncrossing partitions
    Tenner, Bridget Eileen
    [J]. DISCRETE MATHEMATICS, 2021, 344 (07)
  • [49] Domatic partitions of computable graphs
    Jura, Matthew
    Levin, Oscar
    Markkanen, Tyler
    [J]. ARCHIVE FOR MATHEMATICAL LOGIC, 2014, 53 (1-2) : 137 - 155
  • [50] Graphs, partitions and classes of groups
    Adolfo Ballester-Bolinches
    John Cossey
    [J]. Monatshefte für Mathematik, 2012, 166 : 309 - 318