On the equal-subset-sum problem

G.J. Woeginger; Zhongliang Yu

doi:10.1016/0020-0190(92)90226-L

On the equal-subset-sum problem

G.J. Woeginger
, Zhongliang Yu

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

53 Citations (Scopus)

Abstract

Given a set S of n integers, the problem is to decide whether there exist two disjoint nonempty subsets S1,S2S whose elements sum up to the same value. We show this problem to be NP-complete and we present an approximation algorithm with worst-case ratio 1.324 for the optimization version of this problem.

Original language	English
Pages (from-to)	299-302
Journal	Information Processing Letters
Volume	42
Issue number	6
DOIs	https://doi.org/10.1016/0020-0190(92)90226-L
Publication status	Published - 1992

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title = "On the equal-subset-sum problem",

abstract = "Given a set S of n integers, the problem is to decide whether there exist two disjoint nonempty subsets S1,S2S whose elements sum up to the same value. We show this problem to be NP-complete and we present an approximation algorithm with worst-case ratio 1.324 for the optimization version of this problem.",

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AB - Given a set S of n integers, the problem is to decide whether there exist two disjoint nonempty subsets S1,S2S whose elements sum up to the same value. We show this problem to be NP-complete and we present an approximation algorithm with worst-case ratio 1.324 for the optimization version of this problem.

U2 - 10.1016/0020-0190(92)90226-L

DO - 10.1016/0020-0190(92)90226-L

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VL - 42

SP - 299

EP - 302

JO - Information Processing Letters

JF - Information Processing Letters

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ER -

On the equal-subset-sum problem

Abstract

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