Better algorithms for minimum weight vertex-connectivity problems

被引:0
|
作者
Auletta, V [1 ]
Parente, M [1 ]
机构
[1] Univ Salerno, Dipartimento Informat & Applicaz, I-84081 Baronissi, Italy
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Given a Ic vertex-connected graph with weighted edges, we study the problem of finding a minimum weight spanning subgraph which is k vertex-connected, for small values of L. The problem is known to be NP-hard for any k, even when edges have no weight. In this paper we provide a 2 approximation algorithm for the cases k = 2, 3 and a 3 approximation algorithm for the case k = 4. The best approximation factors present in literature are 2, 3 + 2/3 and 4 + 1/6, respectively.
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页码:547 / 558
页数:12
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