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arXiv · 2511.06572

Hamiltonian Subgraphs of Order Seven in $srg(n,k,1,2)$

Reimbay Reimbayev
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Abstract

Strongly regular graphs are highly symmetrical and can be described fully with just a few parameters, yet the existence of many of them is still under the question. In this paper, we continue the study of the famuly of strongly regular graphs with parameters $λ=1$ and $μ=2$ and establish all of their possible Hamiltonian subgraphs of order seven. By doing so we establish the lower and upper bounds for number of 7-gons, or 7-cycles, in such graphs.

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Reimbay Reimbayev. 2025-11-09. Hamiltonian Subgraphs of Order Seven in $srg(n,k,1,2)$. https://arxiv.org/abs/2511.06572

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