Review of Different Types of Energy and Some Properties of Semiregular Graphs
J. Visuvasam
*
Ramanujan Research Centre in Mathematics, Saraswathi Narayanan College (Autonomous), Perungudi, Madurai -625022, India.
S. Thamizh Suganya
Department of Mathematics, Academy of Maritime Education and Training (AMET), Deemed to be University, Chennai- 603112, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, some properties of semi-regular graphs have been studied. The energy of graphs has many mathematical properties, which are being investigated for some of the semi-regular graphs. Also, the Laplacian Energy of these types of the graph has been defined has also been studied. We give examples of semi-regular graphs, describe the barbell class, and describe how the property of semi regularity relates to other properties of graphs.
Keywords: Regular graph, semi-regular, Graph energy, adjacency spectrum, Laplacian spectrum, matrices