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.
|Original language||English (US)|
|Number of pages||10|
|Journal||Czechoslovak Mathematical Journal|
|State||Published - Sep 2008|
- Cayley color graph
- Inverse semigroup
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