Symmetric Digraphs from Powers Modulo n

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DOI: 10.4236/ojdm.2011.13013   PDF   HTML     4,424 Downloads   9,081 Views   Citations

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 aH to bH if ab(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)

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G. Deng and P. Yuan, "Symmetric Digraphs from Powers Modulo n," Open Journal of Discrete Mathematics, Vol. 1 No. 3, 2011, pp. 103-107. doi: 10.4236/ojdm.2011.13013.

Conflicts of Interest

The authors declare no conflicts of interest.

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