MISC

査読有り
2001年

On the minimum local-vertex-connectivity augmentation in graphs

ALGORITHMS AND COMPUTATION, PROCEEDINGS
  • H Nagamochi
  • ,
  • T Ishii

2223
開始ページ
124
終了ページ
135
記述言語
英語
掲載種別
DOI
10.1007/3-540-45678-3_12
出版者・発行元
SPRINGER-VERLAG BERLIN

Given a graph G and target values r(u, v) prescribed for each pair of vertices u and v, we consider the problem of augmenting G by a smallest set F of new edges such that the resulting graph G + F has at least r(u, v) internally disjoint paths between each pair of vertices u and v. We show that the problem is NP-hard even if G is (k - 1)-vertex-connected and r(u, v) is an element of {0, k}, u, v is an element of V holds for a constant k greater than or equal to 2. We then give a linear time algorithm which delivers a (3)/(2)-Lapproximation solution to the problem with a connected graph G and r(u, V) E {0, 2}, u,v is an element of V.

リンク情報
DOI
https://doi.org/10.1007/3-540-45678-3_12
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000174430700012&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/3-540-45678-3_12
  • ISSN : 0302-9743
  • Web of Science ID : WOS:000174430700012

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