# Symmetric Digraphs from Powers Modulo n

@article{Deng2011SymmetricDF,
title={Symmetric Digraphs from Powers Modulo n},
author={Guixin Deng and Pingzhi Yuan},
journal={Open journal of Discrete Mathematics},
year={2011},
volume={01},
pages={103-107}
}
• Published 2011
• Mathematics
• Open journal of Discrete Mathematics
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)
2 Citations
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It is proved that the component of the simple graph is a tree with root at zero, and if is a Fermat's prime, then the components of thesimple graph is complete. Expand

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