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- W2237285735 abstract "We define G(n, k) to be a directed graph whose set of vertices is {0, 1, ..., n− 1} and whose set of edges is {(a, b) : a ≡ b (mod n)}. We say that G(n, k) is symmetric of order m if we can partition G(n, k) into subgraphs, each containing m components, such that all the components in a subgraph are isomorphic. We develop necessary and sufficient conditions for G(n, k) to contain symmetry when n is odd and square-free. Additionally, we use group theory to describe the structural properties of G1(n, k), the subgraph of G(n, k) containing only those vertices relatively prime to n." @default.
- W2237285735 created "2016-06-24" @default.
- W2237285735 creator A5074789273 @default.
- W2237285735 date "2009-01-01" @default.
- W2237285735 modified "2023-10-17" @default.
- W2237285735 title "Structural Properties of Power Digraphs Modulo n" @default.
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- W2237285735 hasPublicationYear "2009" @default.
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