Zero-sum problems with congruence conditions
β 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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π SIMILAR VOLUMES
Zero-sum Ramsey theory is a newly established area in combinatorics. It brings to ramsey theory algebric tools and algebric flavour. The paradigm of zero-sum problems can be formulated as follows: Suppose the elements of a combinatorial structure are mapped into a finite group K. Does there exists a
## 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~) β¦ __Z__~k~ there is a copy __G__^1^ of __G__ in __K__~r~ so that Ξ£eβ__E__(__G__^1^) __f(e)__ = 0 (in __Z__~k~). We pr
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