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On transitive Cayley graphs of strong semilattices of right (left) groups
Authors:S. Panma   U. Knauer  Sr. Arworn  
Affiliation:aChiang Mai University, Department of Mathematics, Faculty of Sciences, Chiang Mai 50200, Thailand;bCarl von Ossietzky Universitaet, Institut fuer Mathematik, D-26111, Oldenburg, Germany
Abstract:
We investigate Cayley graphs of strong semilattices of right (left) groups, of right (left) zero semigroups, and of groups. We show under which conditions they enjoy the property of automorphism vertex transitivity in analogy to Cayley graphs of groups.
Keywords:Cayley graph   Strong semilattice of semigroups   Right (left) groups   Right (left) zero semigroups   Automorphism vertex transitive   Clifford semigroup
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