A better approximation algorithm for the budget prize collecting tree problem

  • Authors:
  • Asaf Levin

  • Affiliations:
  • Faculty of Industrial Engineering and Management, Technion, Haifa 32000, Israel

  • Venue:
  • Operations Research Letters
  • Year:
  • 2004

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Abstract

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 find a subtree T'=(V',E') that maximizes @?"v"@?"V"'p(v), subject to @?"e"@?"E"'c(e)=