2001年
On the minimum local-vertex-connectivity augmentation in graphs
ALGORITHMS AND COMPUTATION, PROCEEDINGS
- ,
- 巻
- 2223
- 号
- 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
- ID情報
-
- DOI : 10.1007/3-540-45678-3_12
- ISSN : 0302-9743
- Web of Science ID : WOS:000174430700012