TITLE

On Strongly Regular Graphs with /m2 - m3/ ≤ 3

AUTHOR(S)
Lepović, Mirko
PUB. DATE
July 2010
SOURCE
Global Journal of Pure & Applied Mathematics;2010, Vol. 6 Issue 2, p125
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We say that a regular graph G of order n and degree r ≥ 1 (which is not the complete graph) is strongly regular if there exist non-negative integers τ and θ such that /Si ∩ Sj / = τ for any two adjacent vertices I and j , and /SI ∩ Sj/= θ for any two distinct non-adjacent vertices I and j , where Sk denotes the neighborhood of the vertex k. Let λ1 = r, λ2 and λ3 be the distinct eigenvalues of a connected strongly regular graph. Let m1 = 1, m2 and m3 denote the multiplicity of r, λ2 and λ3, respectively. We here describe the parameters n, r, τ and θ for strongly regular graphs with /m2 - m3/ ≤ 3.
ACCESSION #
74631461

 

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