FEEDBACK VERTEX SET ON COCOMPARABILITY GRAPHS

被引：9
|
作者：
COORG, SR [1 ]
RANGAN, CP [1 ]
机构：
[1] INDIAN INST TECHNOL,DEPT COMP SCI & ENGN,MADRAS 600036,TAMIL NADU,INDIA
来源：
NETWORKS | 1995年 / 26卷 / 02期
关键词：
D O I：
10.1002/net.3230260205
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given an undirected graph, the feedback vertex set problem is to find a set of vertices of minimum cardinality such that removing the vertices in this set makes the graph acyclic. This problem is known to be NP-hard on general graphs. An O(n(6)) algorithm for this problem on permutation graphs is known. In this paper, we give an O(n(4)) algorithm for this problem on cocomparability graphs. Our result improves the time complexity of the algorithm and enlarges the class of graphs on which this problem is polynomial time-solvable. (C) 1995 John Wiley and Sons, Inc.
引用
收藏
页码：101 / 111
页数：11
相关论文
共 50 条
  • [11] Feedback Vertex Set on Graphs of Low Cliquewidth
    Bui-Xuan, Binh-Minh
    Telle, Jan Arne
    Vatshelle, Martin
    COMBINATORIAL ALGORITHMS, 2009, 5874 : 113 - 124
  • [12] A feedback vertex set of 2-degenerate graphs
    Borowiecki, Mieczyslaw
    Drgas-Burchardt, Ewa
    Sidorowicz, Elzbieta
    THEORETICAL COMPUTER SCIENCE, 2014, 557 : 50 - 58
  • [13] Solving the feedback vertex set problem on undirected graphs
    Brunetta, L
    Maffioli, F
    Trubian, M
    DISCRETE APPLIED MATHEMATICS, 2000, 101 (1-3) : 37 - 51
  • [14] Subset Feedback Vertex Set in Chordal and Split Graphs
    Philip, Geevarghese
    Rajan, Varun
    Saurabh, Saket
    Tale, Prafullkumar
    ALGORITHMICA, 2019, 81 (09) : 3586 - 3629
  • [15] The minimum feedback vertex set for kronecker product of graphs
    Tigrine, Fouad
    Kheddouci, Hamamache
    UTILITAS MATHEMATICA, 2007, 74 : 207 - 237
  • [16] Isomorphism for Graphs of Bounded Feedback Vertex Set Number
    Kratsch, Stefan
    Schweitzer, Pascal
    ALGORITHM THEORY - SWAT 2010, PROCEEDINGS, 2010, 6139 : 81 - 92
  • [17] Subset Feedback Vertex Set in Chordal and Split Graphs
    Geevarghese Philip
    Varun Rajan
    Saket Saurabh
    Prafullkumar Tale
    Algorithmica, 2019, 81 : 3586 - 3629
  • [18] Connected Feedback Vertex Set on AT-Free Graphs
    Mukherjee, Joydeep
    Saha, Tamojit
    COMBINATORIAL ALGORITHMS, IWOCA 2023, 2023, 13889 : 319 - 330
  • [19] Subset feedback vertex set on graphs of bounded independent set size
    Papadopoulos, Charis
    Tzimas, Spyridon
    THEORETICAL COMPUTER SCIENCE, 2020, 814 : 177 - 188
  • [20] Approximability of the Independent Feedback Vertex Set Problem for Bipartite Graphs
    Tamura, Yuma
    Ito, Takehiro
    Zhou, Xiao
    WALCOM: ALGORITHMS AND COMPUTATION (WALCOM 2020), 2020, 12049 : 286 - 295
12345