Review of Different Types of Energy and Some Properties of Semiregular Graphs

J. Visuvasam; S. Thamizh Suganya

doi:10.9734/ajpas/2021/v12i330290

Research Article Open access CC BY 4.0

Review of Different Types of Energy and Some Properties of Semiregular Graphs

J. Visuvasam, S. Thamizh Suganya

Asian Journal of Probability and Statistics · pp. 81–101 · Published 29 Apr 2021

10.9734/ajpas/2021/v12i330290

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.

Regular graph semi-regular Graph energy adjacency spectrum Laplacian spectrum, matrices

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J. Visuvasam, S. Thamizh Suganya (2021). Review of Different Types of Energy and Some Properties of Semiregular Graphs. Asian Journal of Probability and Statistics , 81–101. https://doi.org/10.9734/ajpas/2021/v12i330290

Affiliations

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.

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