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Zero-sum problems with congruence conditions

✍ Scribed by Alfred Geroldinger; David J. Grynkiewicz; Wolfgang A. Schmid


Book ID
106343899
Publisher
Akadmiai Kiad
Year
2011
Tongue
English
Weight
729 KB
Volume
131
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES


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✍ Noga Alon; Yair Caro πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 821 KB

## 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 Ξ£e∈__E__(__G__^1^) __f(e)__ = 0 (in __Z__~k~). We pr

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✍ W.D Gao πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 163 KB

In this paper we consider the following open problems: Conjecture 0.1. Let S be a sequence of 3n&3 elements in C n Γ„ C n . If S contains no nonempty zero-sum subsequence of length not exceeding n, then S consists of three distinct elements, each appearing n&1 times. Conjecture 0.2. Let S be a seque