A directed graph version of strongly regular graphs

A directed graph version of strongly regular graphs
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DOI:
10.1016/0097-3165(88)90043-x
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发表时间:
1988-01
期刊:
J. Comb. Theory A
影响因子:
--
通讯作者:
Art M. Duval
Art M. Duval
中科院分区:
其他
文献类型:
--
作者:
Art M. Duval

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研究了一类强正则图的有向图形式,其邻接矩阵满足:ya2 + (μ−λ) a−(t−μ)I=μ j, aj =JA=kJ。我们证明了几个参数集族的存在性(通过构造)、不存在性和必要条件,并构造了同态。
We study a directed graph version of strongly regular graphs whose adjacency matrices satisfyA2+ (μ−λ)A− (t−μ)I=μJ, andAJ=JA=kJ. We prove existence (by construction), nonexistence, and necessary conditions, and construct homomorphisms for several families of parameter sets.