The uniformity space of hypergraphs and its applications
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.
scientific article; zbMATH DE number 1334515
scientific article