When the arc-colored line digraph of a cayley colored digraph is again a cayley colored digraph
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Tipus de documentArticle
Data publicació1992-12
Condicions d'accésAccés obert
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Abstract
Let D6(G) be the Cayley colored ügraph of a finite group
G generated by A. The arc-colored line digraph of a Cayley colored digraph
ie obtained by appropriately coloring the arcs of its line digraph.
In this paper it is shown that the group of automorphisms of D6 (G)
that act as permutations on the color classes is isomorphic to the gemidirect
product of G a¡rd a particular subgroup of AutG. Neceeeary and
sufficient conditions for the arc-colored üne digraph of a Cayley colored
digraph ¿lso to be a Cayley colored digraph are then derived.
CitacióFiol, M.L.; Fiol, M. A.; Andres, J. When the arc-colored line digraph of a cayley colored digraph is again a cayley colored digraph. "Ars combinatoria", Desembre 1992, vol. 34, p. 65-73.
ISSN0381-7032
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