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非本原强正则图的充分条件
引用本文:扈生彪.非本原强正则图的充分条件[J].阜阳师范学院学报(自然科学版),2002,19(3):1-2.
作者姓名:扈生彪
作者单位:青海民族学院应用数学系,青海,西宁,810007
基金项目:Foundation item:Supported by natural science foundation of Qinghai province(200008)
摘    要:设 G 是一个(n,k,α,c)-强正则图,(n,■,■,■)是它的补图。若它们的参数满足下列条件之一:1)k,n—1互素;2)k,■互素;3)α=k—1,那么 G 是非本原的。G 是非本原的当且仅当■=■或■=0.

关 键 词:强正则图  本原  非本原

The Sufficient Conditions of Imprimitive Strongly Regular Graph
HU Shengbiao.The Sufficient Conditions of Imprimitive Strongly Regular Graph[J].Journal of Fuyang Teachers College:Natural Science,2002,19(3):1-2.
Authors:HU Shengbiao
Abstract:Let G be a ( n ,k ,a ,c )-strongly regular graph, (n,-k,-a,-c)be its complement graph. If its parameters satisfies one of the following condition: 1) k and n -1 coprime; 2) k and k coprime; 3) a = k - 1 ,then G is imprimitive. G is imprimitive of and only if-c = -k or-c = 0.
Keywords:Strongly regular graph  Primitive  Imprimitive
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