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arXiv · 1708.04162

Asymptotically Almost Every $2r$-regular Graph has an Internal Partition

Nathan Linial·Sria Louis
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Abstract

An internal partition of a graph is a partitioning of the vertex set into two parts such that for every vertex, at least half of its neighbors are on its side. We prove that for every positive integer $r$, asymptotically almost every $2r$-regular graph has an internal partition.

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Nathan Linial, Sria Louis. 2017-08-16. Asymptotically Almost Every $2r$-regular Graph has an Internal Partition. https://arxiv.org/abs/1708.04162

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