• DocumentCode
    315789
  • Title

    A linear time algorithm for minimum augmentation to 3-connect specified vertices of a graph

  • Author

    Mashima, Toshiya ; Watanabe, Toshimasa

  • Author_Institution
    Dept. of Circuits & Syst., Hiroshima Univ., Japan
  • Volume
    2
  • fYear
    1997
  • fDate
    9-12 Jun 1997
  • Firstpage
    1013
  • Abstract
    The subject of the paper is the 3-vertex-connectivity augmentation problem for a specified set of vertices (3VCA-SV), which is defined as follows: given an undirected graph G=(V, E) and a specified subset S of V with |S|>3, find a smallest set of edges to be added to G so that the resulting graph may have the property that, even after deleting any two vertices from it, there is a path between any pair of remaining vertices in S. The result of the paper is that 3VCA-SV can be solved optimally in linear time
  • Keywords
    computational complexity; graph theory; 3-connect specified vertices; 3-vertex-connectivity augmentation problem; 3VCA-SV; edge set; linear time algorithm; minimum augmentation; specified subset; undirected graph; Approximation algorithms; Circuits and systems; Ice; Polynomials; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
  • Print_ISBN
    0-7803-3583-X
  • Type

    conf

  • DOI
    10.1109/ISCAS.1997.621905
  • Filename
    621905