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L. Somer and M. Krizek, “Structure of Digrphs Associated with Quadratic Congruences with Composite Moduli,” Discrete Mathematics, Vol. 306, No. 18, 2006, pp. 2174-2185. doi:10.1016/j.disc.2005.12.026

has been cited by the following article:

• TITLE: Symmetric Digraphs from Powers Modulo n

  AUTHORS: Guixin Deng, Pingzhi Yuan

  KEYWORDS: Congruence, Digraph, Component, Height, Cycle

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.1 No.3, October 17, 2011

  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)