SOME PROPERTIES OF CAYLEY GRAPHS OF FULL TRANSFORMATION SEMIGROUPS
A. Riyas, K. Geetha · 2018
L et be a finite group and let be a non-empty subset of . The Cayley graph of relative to is defined as the graph with vertex set and edge set A Full Transformation semigroup on a set is the set of all mappings of a set onto itself with composition of transformations as semigroup operation. It is also named as Symmetric semigroupof is unit regular monoid. In this paper, we study the Cayley graphs of Full transformation semigroup relative to the set of idempotents and the existence of Hamiltonian cycles in it.