On extensions of small strongly regular graphs with eigenvalue 3

被引：0

作者：

A. A. Makhnev

D. V. Paduchikh

机构：

[1] Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics, Ural Branch

[2] Ural Federal University,undefined

来源：

Doklady Mathematics | 2015年 / 92卷

关键词：

Regular Graph; Doklady Mathematic; Vertex Degree; Intersection Array; Complement Graph;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Previously, the authors found the parameters of exceptional strongly regular graphs with eigenvalue 3 (theorem). It is proved that, if Γ is a distance-regular graph whose local subgraphs are strongly regular with parameters listed in items (3)–(10) of the theorem, then Γ is a strongly regular graph, Taylor graph, or a graph with intersection array {100, 66, 1; 1, 33, 100}.

引用

页码：482 / 486

页数：4

共 9 条

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[2]

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[3]

Makhnev A. A.(2013)undefined Tr. Inst. Mat. Mekh. Ural. Otd. Ross. Akad. Nauk 19 465-478

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[6]

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[7]

Paduchikh D. V.(undefined)undefined undefined undefined undefined-undefined

[8]

Koolen J. H.(undefined)undefined undefined undefined undefined-undefined

[9]

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