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Strongly regular Cayley graphs with λ − μ = −1

✍ Scribed by K.T Arasu; D Jungnickel; S.L Ma; A Pott

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
451 KB
Volume
67
Category
Article
ISSN
0097-3165

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We consider strongly regular graphs in which each non-adjacent pair of vertices has exactly one common neighbour. These graphs give rise to partial linear spaces (one of which is a partial quadrangle) and a distance-regular graph of diameter three. The lower bound for the valency of the graph in ter

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By a square in an undirected graph ⌫ , we mean a cycle x , y , z , w such that x is not adjacent to z and y is not adjacent to w . Suppose that ⌫ is a strongly regular graph with ϭ 2 , and assume that ⌫ does not contain a square . Pick any vertex x of ⌫ and let ⌫ Ј denote the induced subgraph on the