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arXiv · 1006.1268

Approximate Hamilton Decompositions of Random Graphs

Fiachra Knox·Daniela Kühn·Deryk Osthus
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Abstract

We show that if pn >> log n, the binomial random graph G_{n,p} has an approximate Hamilton decomposition. More precisely, we show that in this range G_{n,p} contains a set of edge-disjoint Hamilton cycles covering almost all of its edges. This is best possible in the sense that the condition that pn >> log n is necessary.

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Fiachra Knox, Daniela Kühn, Deryk Osthus. 2013-07-04. Approximate Hamilton Decompositions of Random Graphs. https://arxiv.org/abs/1006.1268

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