Structure of digraphs associated with quadratic congruences with composite moduli |
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Authors: | Lawrence Somer |
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Institution: | a Department of Mathematics, Catholic University of America, Washington, DC 20064, USA b Mathematical Institute, Academy of Sciences, ?itná 25, CZ-11567 Prague 1, Czech Republic |
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Abstract: | We assign to each positive integer n a digraph G(n) whose set of vertices is H={0,1,…,n-1} and for which there exists a directed edge from a∈H to b∈H if . Associated with G(n) are two disjoint subdigraphs: G1(n) and G2(n) whose union is G(n). The vertices of G1(n) correspond to those residues which are relatively prime to n. The structure of G1(n) is well understood. In this paper, we investigate in detail the structure of G2(n). |
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Keywords: | 11A07 11A15 11A51 05C20 20K01 |
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