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arXiv 2608.19410math.CO

参数为λ=1、μ=2的强正则图的7阶诱导子图及其频率

Induced Subgraphs of Order Seven and Their Frequencies in $srg(n,k,1,2)$

Reimbay Reimbayev

AI总结:

本文对参数λ=1、μ=2的强正则图的7阶诱导子图完成分类并确定其相对频率,以深化对这类图局部结构的理解。

AI中文摘要:

本文研究参数λ=1、μ=2的强正则图的结构,特别对7阶诱导子图进行完整分类并确定其相对频率。这些发现有助于更深入理解此类图的局部结构,或对相关组合与代数研究有用。

英文摘要:

In this paper, we examine the structure of strongly regular graphs with parameters $λ= 1$ and $μ= 2$. In particular, we provide a complete classification of induced subgraphs of order seven and determine their relative frequencies. These findings contribute to a finer understanding of the local structure of such graphs and may be useful in related combinatorial and algebraic investigations.

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