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arXiv · 1907.07025

Some Structure Theory for Cayley Graphs and Associated Hypergraphs

Felix Canavoi
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Abstract

We expand the structural theory of \ca graphs that avoid specific cyclic coset patterns. We present several characterisations of tree-likeness for these structures and show a close connection to $α$-acyclic hypergraphs. A focus lies on the behaviour of short paths of overlapping cosets in these \ca graphs, and their relation to short chordless paths in hypergraphs that are locally acyclic.

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Felix Canavoi. 2021-12-23. Some Structure Theory for Cayley Graphs and Associated Hypergraphs. https://arxiv.org/abs/1907.07025

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