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Non-normal one-regular and 4-valent Cayley graphs of dihedral groups D2n by Changqun Wang; Mingyao Xu is a Mathematics article available to read on EtoBox.

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S be a generating set of G, |S| = 4. In this paper we show that any one-regular and 4-valent Cayley graph X = Cay(G, S) of dihedral groups G is normal except that n = 4s, and X Cay(G, {a, a -1 , a i b, a -i b}), where i 2 ≡ ±1(mod 2s), 2 ≤ i ≤ 2s -2.

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Author

Changqun Wang; Mingyao Xu

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0195-6698)

Published

2006

Language

EN

Field

Mathematics (Physical Sciences)