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On a Pursuit Game on Cayley Digraphs

✍ Scribed by Hamidoune, Yahya Ould

Book ID
123117442
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
456 KB
Volume
8
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES

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Given a colouring A of a d-regular digraph G and a colouring H of the symmetric complete digraph on d vertices with loops, the uniformly induced colouring LnA of the line digraph LG is defined. It is shown that the group of colour-preserving automorphisms of (LG, L,A) is a subgroup of the group of c

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A necessary and sufficient condition is given for two Cayley digraphs X 1 = Cay(G 1 , S 1 ) and X 2 = Cay(G 2 , S 2 ) to be isomorphic, where the groups G i are nonisomorphic abelian 2-groups, and the digraphs X i have a regular cyclic group of automorphisms. Our result extends that of Morris [J Gra