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Zero-sum problems with subgroup weights

✍ Scribed by S. D. Adhikari; A. A. Ambily; B. Sury

Book ID: 107589395
Publisher: Indian Academy of Sciences
Year: 2010
Tongue: English
Weight: 125 KB
Volume: 120
Category: Article
ISSN: 0253-4142
DOI: 10.1007/s12044-010-0035-y

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## Abstract For a graph __G__ whose number of edges is divisible by __k__, let __R__(__G,Z__~k~) denote the minimum integer __r__ such that for every function __f__: __E__(__K__~r~) ↦ __Z__~k~ there is a copy __G__^1^ of __G__ in __K__~r~ so that Σe∈__E__(__G__^1^) __f(e)__ = 0 (in __Z__~k~). We pr