Edge Manipulation and ChromaticTrends: A Study of Vertex and Edge Domination in Semigraphs

Abstract

Graph coloring is a significant aspect within graph theory, offering various techniques tailored to different graph types. The exploration of graph domination represents another pivotal domain in graph theory. This paper delves into the nuanced realms of vertex domination and edge domination, specifically within the context of semigraph coloring. Additionally, our investigation extends to examining the dynamic alterations in color energy within semigraphs resulting from targeted edge deletions.

AMS Classification: 05C90, 05C99.