• Title of article

    ON CONNECTEDNESS an‎d COMPLETENESS OF CAYLEY DIGRAPHS OF TRANSFORMATION SEMIGROUPS WITH FIXED SETS

  • Author/Authors

    Nupo, Nuttawoot Department of Mathematics - Faculty of Science - Khon Kaen University, Thailand , Pookpienlert, Chollawat Department of Mathematics - Faculty of Science and Agricultural Technology - Rajamangala University of Technology Lanna, Thailand

  • Pages
    17
  • From page
    110
  • To page
    126
  • Abstract
    Let Fix(X, Y ) be a semigroup of full transformations on a set X in which elements in a nonempty subset Y of X are fixed. In this paper, we construct the Cayley digraphs of Fix(X, Y ) and study some structural properties of such digraphs such as the connectedness and the completeness. Further, some prominent results of Cayley digraphs of Fix(X, Y ) relative to minimal idempotents are verified. In addition, the characterization of an equivalence digraph of the Cayley digraph of Fix(X, Y ) is also investigated
  • Keywords
    Cayley digraphs of transformation semigroups , connectedness , completeness , minimal idempotents , equivalence digraphs
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2020
  • Record number

    2599088

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599088