The uniformity space of hypergraphs and its applications
type: Item
instance of: scholarly article
title: The uniformity space of hypergraphs and its applications
zbMATH Open document ID: 0932.05069
DOI: 10.1016/S0012-365X(98)00344-6
author: Yair Caro
author: Raphael Yuster
published in: Discrete Mathematics
publication date: 2000-03-13T00:00:00Z
review text: Let \(H=(V,E)\) be a hypergraph and let \(F\) be a field. A function \(f:V\to F\) is stable if \(\sum_{v\in e}f(v)=c\) for some \(c\in F\) and for each \(e\in E\). The linear space consisting of the stable functions is investigated and its applications to several problems in graph theory are shown. One such problem is the determination of the zero-sum mod 2 Ramsey numbers.
Mathematics Subject Classification ID: 05C65
Mathematics Subject Classification ID: 05C85
Mathematics Subject Classification ID: 05C55
zbMATH DE Number: 1334515
zbMATH Keywords: hypergraph
zbMATH Keywords: linear space
zbMATH Keywords: zero-sum
zbMATH Keywords: Ramsey numbers
reviewed by: G. Gutin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1334515