On the various Connected Edge Dominations of Involutory Cayley Graph

Abstract

In this paper, three edge domination parameters, namely connected edge domination, cototal edge domination, and complete cototal edge domination for an involutory Cayley graphs were presented. Theoretical results and derive domination numbers for involutory Cayley graphs of various orders were established. The structural properties of these graphs are utilized to construct suitable edge dominating sets and determine their minimum cardinalities. The obtained results provide a systematic characterization of these domination parameters for different classes of involutory Cayley graphs. These findings further contribute to the study of domination theory in algebraically structured graphs.