On the feedback vertex set problem for a planar graphÜber das Feedback-Vertex-Set-Problem für planare Graphen

被引：0
|
作者：
W. Hackbusch
机构：
[1] Christian-Albrechts-Universität zu Kiel,Praktische Mathematik
来源：
Computing | 1997年 / 58卷 / 2期
关键词：
05C20; 05C38; 05C85; 68R17; Planar graphs; feedback vertex set; cycles;
D O I：
10.1007/BF02684436
中图分类号：
学科分类号：
摘要：
An algorithm solving the feedback-vertex-set problem for planar digraphs is described. In particular, planar graphs with a certain additional condition are considered as they arise from solving systems of linear equations obtained from convection-dominated flow problems. The proposed algorithm requires a computational work linear in the size of the graph. Furthermore, a side-product is a decomposition of the graph into subsets that are of interest for block-Gauß-Seidel smoothers in multi-grid methods.
引用
收藏
页码：129 / 155
页数：26
相关论文
共 50 条
  • [21] The Feedback Arc Set Problem with Triangle Inequality Is a Vertex Cover Problem
    Mastrolilli, Monaldo
    ALGORITHMICA, 2014, 70 (02) : 326 - 339
  • [22] The Feedback Arc Set Problem with Triangle Inequality Is a Vertex Cover Problem
    Monaldo Mastrolilli
    Algorithmica, 2014, 70 : 326 - 339
  • [23] Feedback vertex set reconfiguration in planar graphs
    Bousquet, Nicolas
    Hommelsheim, Felix
    Kobayashi, Yusuke
    Muehlenthaler, Moritz
    Suzuki, Akira
    THEORETICAL COMPUTER SCIENCE, 2023, 979
  • [24] A linear kernel for planar feedback vertex set
    Bodlaender, Hans L.
    Penninkx, Eelko
    PARAMETERIZED AND EXACT COMPUTATION, PROCEEDINGS, 2008, 5018 : 160 - 171
  • [25] Connected Feedback Vertex Set, in Planar Graphs
    Grigoriev, Alexander
    Sitters, Rene
    GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 2010, 5911 : 143 - +
  • [26] ON THE NONSEPARATING INDEPENDENT SET PROBLEM AND FEEDBACK SET PROBLEM FOR GRAPHS WITH NO VERTEX DEGREE EXCEEDING 3
    UENO, S
    KAJITANI, Y
    GOTOH, S
    DISCRETE MATHEMATICS, 1988, 72 (1-3) : 355 - 360
  • [27] Lossy Reduction Rules for the Directed Feedback Vertex Set Problem
    Behr, Timon
    Storandt, Sabine
    2023 PROCEEDINGS OF THE SYMPOSIUM ON ALGORITHM ENGINEERING AND EXPERIMENTS, ALENEX, 2023, : 53 - 64
  • [28] A spin glass approach to the directed feedback vertex set problem
    Zhou, Hai-Jun
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016,
  • [29] 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
  • [30] An improved parameterized algorithm for the independent feedback vertex set problem
    Song, Yinglei
    THEORETICAL COMPUTER SCIENCE, 2014, 535 : 25 - 30
12345