A Space-Efficient Separator Algorithm for Planar Graphs

被引:1
|
作者
Ashida, Ryo [1 ]
Kuhnert, Sebastian [2 ]
Watanabe, Osamu [1 ]
机构
[1] Tokyo Inst Technol, Sch Comp, Tokyo 1528550, Japan
[2] Humboldt Univ, Dept Comp Sci, Berlin, Germany
关键词
separator; sublinear-space algorithm;
D O I
10.1587/transfun.E102.A.1007
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Miller [9] proposed a linear-time algorithm for computing small separators for 2-connected planar graphs. We explain his algorithm and present a way to modify it to a space efficient version. Our algorithm can be regarded as a log-space reduction from the separator construction to the breadth first search tree construction.
引用
收藏
页码:1007 / 1016
页数:10
相关论文
共 50 条
  • [1] Space Efficient Separator Algorithms for Planar Graphs
    Watanabe, Osamu
    [J]. WALCOM: ALGORITHMS AND COMPUTATION (WALCOM 2020), 2020, 12049 : 15 - 21
  • [2] I/O and Space-Efficient Path Traversal in Planar Graphs
    Dillabaugh, Craig
    He, Meng
    Maheshwari, Anil
    Zeh, Norbert
    [J]. ALGORITHMS AND COMPUTATION, PROCEEDINGS, 2009, 5878 : 1175 - +
  • [3] A Space-Efficient Algorithm for the Dynamic DFS Problem in Undirected Graphs
    Nakamura, Kengo
    Sadakane, Kunihiko
    [J]. WALCOM: ALGORITHMS AND COMPUTATION, WALCOM 2017, 2017, 10167 : 295 - 307
  • [4] SPACE-EFFICIENT STATIC TREES AND GRAPHS
    JACOBSON, G
    [J]. 30TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, 1989, : 549 - 554
  • [5] Space-Efficient Counting in Graphs on Surfaces
    Mark Braverman
    Raghav Kulkarni
    Sambuddha Roy
    [J]. computational complexity, 2009, 18
  • [6] Space-Efficient Counting in Graphs on Surfaces
    Braverman, Mark
    Kulkarni, Raghav
    Roy, Sambuddha
    [J]. COMPUTATIONAL COMPLEXITY, 2009, 18 (04) : 601 - 649
  • [7] Space-Efficient Random Walks on Streaming Graphs
    Papadias, Serafeim
    Kaoudi, Zoi
    Quiane-Ruiz, Jorge-Arnulfo
    Markl, Volker
    [J]. PROCEEDINGS OF THE VLDB ENDOWMENT, 2022, 16 (02): : 356 - 368
  • [8] Space-efficient planar convex hull algorithms
    Brönnimann, H
    Iacono, J
    Katajainen, J
    Morin, P
    Morrison, J
    Toussaint, G
    [J]. THEORETICAL COMPUTER SCIENCE, 2004, 321 (01) : 25 - 40
  • [9] Space-efficient algorithm for image rotation
    Asano, Tetsuo
    Bitou, Shinnya
    Motoki, Mitsuo
    Usui, Nobuaki
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2008, E91A (09) : 2341 - 2348
  • [10] A SPACE-EFFICIENT ALGORITHM FOR LOCAL SIMILARITIES
    HUANG, XQ
    HARDISON, RC
    MILLER, W
    [J]. COMPUTER APPLICATIONS IN THE BIOSCIENCES, 1990, 6 (04): : 373 - 381