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arXiv · 2409.10620

The Lower Bound for Number of Hexagons in Strongly Regular Graphs with Parameters $λ=1$ and $μ=2$

Reimbay Reimbayev
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Abstract

The existence of $srg(99,14,1,2)$ has been a question of interest for several decades to the moment. In this paper we consider the structural properties in general for the family of strongly regular graphs with parameters $λ=1$ and $μ=2$. In particular, we establish the lower bound for the number of hexagons and, by doing that, we show the connection between the existence of the aforementioned graph and the number of its hexagons.

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BibTeXRIS

Reimbay Reimbayev. 2024-09-16. The Lower Bound for Number of Hexagons in Strongly Regular Graphs with Parameters $λ=1$ and $μ=2$. https://arxiv.org/abs/2409.10620

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