Geodesic
Cayley color graphs of inverse semigroups and groupoids
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 683-692

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
The notion of Cayley color graphs of groups is generalized to inverse semigroups and groupoids. The set of partial automorphisms of the Cayley color graph of an inverse semigroup or a groupoid is isomorphic to the original inverse semigroup or groupoid. The groupoid of color permuting partial automorphisms of the Cayley color graph of a transitive groupoid is isomorphic to the original groupoid.
The notion of Cayley color graphs of groups is generalized to inverse semigroups and groupoids. The set of partial automorphisms of the Cayley color graph of an inverse semigroup or a groupoid is isomorphic to the original inverse semigroup or groupoid. The groupoid of color permuting partial automorphisms of the Cayley color graph of a transitive groupoid is isomorphic to the original groupoid.
Classification : 20B25, 20M18
Keywords: Cayley color graph; inverse semigroup; groupoid 
Sieben, Nándor. Cayley color graphs of inverse semigroups and groupoids. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 683-692. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a6/
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