Algorithms for connected set cover problem and fault-tolerant connected set cover problem
نویسندگان
چکیده
Given a set V of elements, S a family of subsets of V , and G a connected graph on vertex set S,a connected set cover (CSC) is a subfamily R of S such that every element in V is covered by at least one set of R, and the subgraph G[R] of G induced by R is connected. If furthermore G[R] is k-connected and every element in V is covered by at least m sets inR, thenR is a (k,m)-CSC. In this paper, we present two approximation algorithms for theminimumCSC problem, and one approximation algorithm for theminimum (2,m)-CSC problem. Performance ratios are analyzed. These are the first approximation algorithms for CSC problems in general graphs with guaranteed performance ratios. © 2008 Elsevier B.V. All rights reserved.
منابع مشابه
A note on 'Algorithms for connected set cover problem and fault-tolerant connected set cover problem'
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 410 شماره
صفحات -
تاریخ انتشار 2009