TY - GEN
T1 - Bicriteria approximation tradeoff for the node-cost budget problem
AU - Rabani, Yuval
AU - Scalosub, Gabriel
PY - 2008
Y1 - 2008
N2 - We consider an optimization problem consisting of an undirected graph, with cost and profit functions defined on all vertices. The goal is to find a connected subset of vertices with maximum total profit, whose total cost does not exceed a given budget. The best result known prior to this work guaranteed a (2,O(logn)) bicriteria approximation, i.e. the solution's profit is at least a fraction of of an optimum solution respecting the budget, while its cost is at most twice the given budget. We improve these results and present a bicriteria tradeoff that, given any ε∈ ∈(0,1], guarantees a -approximation.
AB - We consider an optimization problem consisting of an undirected graph, with cost and profit functions defined on all vertices. The goal is to find a connected subset of vertices with maximum total profit, whose total cost does not exceed a given budget. The best result known prior to this work guaranteed a (2,O(logn)) bicriteria approximation, i.e. the solution's profit is at least a fraction of of an optimum solution respecting the budget, while its cost is at most twice the given budget. We improve these results and present a bicriteria tradeoff that, given any ε∈ ∈(0,1], guarantees a -approximation.
UR - http://www.scopus.com/inward/record.url?scp=54249118780&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-69903-3_10
DO - 10.1007/978-3-540-69903-3_10
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AN - SCOPUS:54249118780
SN - 3540699007
SN - 9783540699002
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 90
EP - 101
BT - Algorithm Theory - SWAT 2008 - 11th Scandinavian Workshop on Algorithm Theory, Proceedings
T2 - 11th Scandinavian Workshop on Algorithm Theory, SWAT 2008
Y2 - 2 July 2008 through 4 July 2008
ER -