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A better approximation algorithm for the budget prize collecting tree problem

✍ Scribed by Asaf Levin

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
206 KB
Volume
32
Category
Article
ISSN
0167-6377

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✦ Synopsis

Given an undirected graph G = (V; E), an edge cost c(e) ¿ 0 for each edge e ∈ E, a vertex prize p(v) ¿ 0 for each vertex v ∈ V , and an edge budget B. The BUDGET PRIZE COLLECTING TREE PROBLEM is to ÿnd a subtree T = (V ; E ) that maximizes v∈V p(v), subject to e∈E c(e) 6 B. We present a (4 + )-approximation algorithm.

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