Abstract
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) |
|---|---|
| Pages (from-to) | 683-692 |
| Number of pages | 10 |
| Journal | Czechoslovak Mathematical Journal |
| Volume | 58 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2008 |
Keywords
- Cayley color graph
- Groupoid
- Inverse semigroup
ASJC Scopus subject areas
- General Mathematics