On strongly regular graphs with b1 < 24

被引:0
|
作者
M. S. Nirova
机构
[1] Ural Branch of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
来源
Proceedings of the Steklov Institute of Mathematics | 2013年 / 283卷
关键词
strongly regular graph; partial geometry; pseudogeometric graph;
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学科分类号
摘要
Let γ be a connected edge-regular graph with parameters (v, k, λ), and let b1 = k−λ−1. It is well known that, if b1 = 1, then Γ is either a polygon or a complete multipartite graph with parts of order 2. Graphs with b1 ≤ 4 were classified earlier. The investigation of graphs even in the case b1 = 5 involves great difficulties. However, for strongly regular graphs, the situation is much simpler. In this paper, we classify strongly regular graphs with b1 < 24.
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页码:111 / 118
页数:7
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