A characterization of chain probe graphs

被引:0
|
作者
Martin C. Golumbic
Frédéric Maffray
Grégory Morel
机构
[1] University of Haifa,Caesarea Rothschild Institute and Department of Computer Science
[2] Laboratoire G-SCOP,C.N.R.S.
[3] Laboratoire G-SCOP,undefined
来源
关键词
Bipartite Graph; Perfect Graph; Probe Graph; Discrete Apply Mathematic; Chain Graph;
D O I
暂无
中图分类号
学科分类号
摘要
A chain probe graph is a graph that admits an independent set S of vertices and a set F of pairs of elements of S such that G+F is a chain graph (i.e., a 2K2-free bipartite graph). We show that chain probe graphs are exactly the bipartite graphs that do not contain as an induced subgraph a member of a family of six forbidden subgraphs, and deduce an O(n2) recognition algorithm.
引用
收藏
页码:175 / 183
页数:8
相关论文
共 50 条
  • [41] Characterizing and Recognizing Probe Block Graphs
    Peng, S.-L. (slpeng@mail.ndhu.edu.tw), 2013, Springer Science and Business Media Deutschland GmbH (20):
  • [42] Recognition of probe proper interval graphs
    Nussbaum, Yahav
    DISCRETE APPLIED MATHEMATICS, 2014, 167 : 228 - 238
  • [43] CHAIN DECOMPOSITIONS OF GRAPHS .1. ABSTRACT GRAPHS
    EGGLETON, RB
    SKILTON, DK
    LECTURE NOTES IN MATHEMATICS, 1984, 1073 : 294 - 306
  • [44] A characterization of graphs with supereulerian line graphs
    Huang, Yufei
    He, Weihua
    Huang, Guixian
    Lai, Hong-Jian
    Song, Sulin
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS- COMPUTER SYSTEMS THEORY, 2020, 5 (01) : 1 - 14
  • [45] A characterization of line graphs that are squares of graphs
    Milanic, Martin
    Oversberg, Andrea
    Schaudt, Oliver
    DISCRETE APPLIED MATHEMATICS, 2014, 173 : 83 - 91
  • [46] CHARACTERIZATION OF COMPARABILITY GRAPHS + OF INTERVAL GRAPHS
    GILMORE, PC
    HOFFMAN, AJ
    CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (03): : 539 - &
  • [47] On main eigenvalues of chain graphs
    Alazemi, Abdullah
    Andelic, Milica
    Salim, Aisha
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
  • [48] Chain graphs for multilevel models
    Gottard, Anna
    Rampichini, Carla
    STATISTICS & PROBABILITY LETTERS, 2007, 77 (03) : 312 - 318
  • [49] On the Balaban Index of Chain Graphs
    Das, Kinkar Chandra
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2123 - 2138
  • [50] Chain graphs and symmetric associations
    Richardson, TS
    LEARNING IN GRAPHICAL MODELS, 1998, 89 : 231 - 259