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Multiple subset sum with inclusive assignment set restrictions

✍ Scribed by Hans Kellerer; Joseph Y.-T. Leung; Chung-Lun Li

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 279 KB
Volume: 58
Category: Article
ISSN: 0894-069X
DOI: 10.1002/nav.20466

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Let a 1 , . . . , a n be n real numbers with non-negative sum. We show that if n ≥ 12 there exist at least n-1 2 subsets of {a 1 , . . . , a n } with three elements which have non-negative sum.