R. Sundareswaran

A Graph-Theoretical Framework for Identifying Critical Data Center Using Status Unequal Domination

Critical nodes are essential components of a graph network as they drive information flow and significantly influence the system’s ability and vulnerability. This work introduces status unequal domination ([Formula: see text]-domination), a new framework for identifying critical...

Point-wise outward equitable domination

External and internal equitability studied with the properties of either the components or the set itself. In this paper, the equitability is imposed on the individual vertices and their dominating vertices. A subset [Formula: see text] of [Formula: see text] is called a Point wi...