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A degree sequence version of the Kühn-Osthus tiling theorem

2019/09/27 by Hyde, Joseph, Treglown, Andrew
#05C35 #05C70 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.12670

Abstract

A fundamental result of Kühn and Osthus [The minimum degree threshold for perfect graph packings, Combinatorica, 2009] determines up to an additive constant the minimum degree threshold that forces a graph to contain a perfect H-tiling. We prove a degree sequence version of this result which allows for a significant number of vertices to have lower degree.

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