2015
DOI: 10.1007/s10801-015-0590-5
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A spectral excess theorem for normal digraphs

Abstract: It is known that every distance-regular digraph is connected and normal. An interesting question is: when is a given connected normal digraph distance-regular? Motivated by this question first we give some characterizations of weakly distanceregular digraphs. Specially we show that whether a given connected digraph to be weakly distance-regular only depends on the equality for two invariants. Then we show that a connected normal digraph Γ with d + 1 distinct eigenvalues is distance-regular if and only if the s… Show more

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References 24 publications
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