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arXiv · 2109.03005

Characterizing and computing weight-equitable partitions of graphs

Aida Abiad·Christopher Hojny·Sjanne Zeijlemaker
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Abstract

Weight-equitable partitions of graphs, which are a natural extension of the well-known equitable partitions, have been shown to be a powerful tool to weaken the regularity assumption in several well-known eigenvalue bounds. In this work we aim to further our algebraic and computational understanding of weight-equitable partitions. We do so by showing several spectral properties and algebraic characterizations, and by providing a method to find coarse weight-equitable partitions.

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Aida Abiad, Christopher Hojny, Sjanne Zeijlemaker. 2021-09-07. Characterizing and computing weight-equitable partitions of graphs. https://arxiv.org/abs/2109.03005

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