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arXiv · 1708.06576

Graphs with girth at least 5 with orders between 20 and 32

Alice Miller·Michael Codish
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Abstract

We prove properties of extremal graphs of girth 5 and order 20 <=v <= 32. In each case we identify the possible minimum and maximum degrees, and in some cases prove the existence of (non-trivial) embedded stars. These proofs allow for tractable search for and identification of all non isomorphic cases.

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Alice Miller, Michael Codish. 2017-08-23. Graphs with girth at least 5 with orders between 20 and 32. https://arxiv.org/abs/1708.06576

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