Approximation algorithms for multi-parameter graph optimization problems

Ivan Basov; Alek Vainshtein

doi:10.1016/S0166-218X(01)00269-4

Approximation algorithms for multi-parameter graph optimization problems

Ivan Basov
, Alek Vainshtein

Research output: Contribution to journal › Article › peer-review

Abstract

Given a graph with k>2 different nonnegative weights associated with each edge e and a cost function c: R^k→R₊, consider the problem of finding a minimum-cost edge subset possessing a certain property P. We prove that this problem is weakly NP-hard for a wide class of properties P and costs c, including paths, spanning trees, cuts, joins, etc. We suggest a simple approximation algorithm for this problem and find its performance guarantee.

Original language	English
Pages (from-to)	129-138
Number of pages	10
Journal	Discrete Applied Mathematics
Volume	119
Issue number	1-2
DOIs	https://doi.org/10.1016/S0166-218X(01)00269-4
State	Published - 2002

Keywords

Approximation algorithms
Graph algorithms
Multi-parameter problems
Performance guarantee

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/S0166-218X(01)00269-4

Cite this

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title = "Approximation algorithms for multi-parameter graph optimization problems",

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AB - Given a graph with k>2 different nonnegative weights associated with each edge e and a cost function c: Rk→R+, consider the problem of finding a minimum-cost edge subset possessing a certain property P. We prove that this problem is weakly NP-hard for a wide class of properties P and costs c, including paths, spanning trees, cuts, joins, etc. We suggest a simple approximation algorithm for this problem and find its performance guarantee.

KW - Approximation algorithms

KW - Graph algorithms

KW - Multi-parameter problems

KW - Performance guarantee

UR - https://www.scopus.com/pages/publications/84867948420

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ER -

Approximation algorithms for multi-parameter graph optimization problems

Abstract

Keywords

ASJC Scopus subject areas

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