Symmetric Digraphs from Powers Modulo n

Abstract

For each pair of positive integers n and k, let G(n,k) denote the digraph whose set of vertices is H = {0,1,2,···, n – 1} and there is a directed edge from a ∈ H to b ∈ H if a ≡ b(mod n). The digraph G(n,k) is symmetric if its connected component can be partitioned into isomorphic pairs. In this paper we obtain all symmetric G(n,k)

KeywordsCongruenceDigraphComponentHeightCycle

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Symmetric Digraphs from Powers Modulo <i>n</i>

Abstract

References (14)