Hypergraph cuts above the average

An r-cut of a k-uniform hypergraph H is a partition of the vertex set of H into r parts and the size of the cut is the number of edges which have a vertex in each part. A classical result of Edwards says that every m-edge graph has a 2-cut of size m/2+Ω)(m−−√) and this is best possible. That is, the...

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Hlavní autoři: Conlon, D, Fox, J, Kwan, M, Sudakov, B
Médium: Journal article
Jazyk:English
Vydáno: Hebrew University Magnes Press 2019