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Complete determination of strong regular graph \((n,k,\lambda,\mu)\) with \(k=5,6,7\). (Chinese. English summary) Zbl 1174.05498

Summary: Let \(G\) be a strong regular graph with parameters \((n, k, \lambda, \mu)\). This paper discusses the properties of graph \(G\) and the relations between \(n, k, \lambda\) and \(\mu\), especially. An integrality condition is proposed about parameters \(n, k, \lambda\) and \(\mu\). Based on the above properties, the strong regular graphs with regularity \(k=5, 6, 7\) are completely determined.

MSC:

05C99 Graph theory
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