Structural Characterization of T-Normal Graphs
Seena V *
Department of Mathematics, Christ College (Autonomous), Irinjalakuda, Thrissur, India.
Raji Pilakkat
Department of Mathematics, University of Calicut, Malappuram, Kerala-673 635, India.
*Author to whom correspondence should be addressed.
Abstract
Graph-theoretic properties pertaining to topological separation are important in order to understand how graph elements are structurally related. In this paper, we introduce the concept of T-normal graphs and investigate some of their basic properties. Specifically, we derive conditions under which the complete graph Kn is T-normal, and consider how the T-normal aspect behaves under the union and Cartesian product of two graphs. Finally, we provide a characterization of T-normal graphs using complements of graphs, providing a more in-depth understanding of their structural and topological behavior.
Keywords: T-regular graph, complete graph, union, cartesian product, complement of a graph, clique