Journal
DISCRETE APPLIED MATHEMATICS
Volume 126, Issue 2-3, Pages 313-322Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0166-218X(02)00205-6
Keywords
greedy algorithms; maximum weighted independent set; Caro-Wei theorem
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In this paper, we consider three simple and natural greedy algorithms for the maximum weighted independent set problem. We show that two of them output an independent set of weight at least Sigma(vis an element ofV(G)) W(v)/[d(v) + 1] and the third algorithm outputs an independent set of weight at least Sigma(vis an element ofV(G)) W(v)(2)/[Sigma(uis an element ofNG+(v)) W(u)]. These results are generalization of theorem of Caro and Wei. (C) 2002 Elsevier Science B.V. All rights reserved.
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