A Study on Energy of A Graph

Authors

  • Priyanka R  MSc Mathematics, Department of Mathematics, Dr. SNS Rajalakshmi College of Arts And Science (Autonomous), Coimbatore, Tamil Nadu, India
  • Yashodha S  Assistant Professor, Department of Mathematics, Dr. SNS Rajalakshmi College of Arts And Science(Autonomous), Coimbatore, Tamil Nadu, India

DOI:

https://doi.org//10.32628/18410IJSRSET

Keywords:

Energy of a graph, Laplacian Energy of a graph, Maximum Eccentricity of a graph.

Abstract

In this paper, different types of energy of the graph is compared. Energy f he graph is defined as the sum of the absolute values of its Eigen values of G. If A(G) is the adjacency matrix of G and are the Eigen values of A(G), then E(G)=... Comparison between Energy of a graph, Laplacian Energy of a graph and Maximum Eccentricity of the graph are derived. It is found that Maximum Eccentricity of a graph has the maximum energy when compared to the other two energies.

References

  1. R . Balakrishnan, , Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India. On The energy of a graph, Linear Algebra.
  2. Kinkar Ch. Das, Sungkyunkwan University and Seyed Ahmad Mojalal, Sungkyunkwa. On The Energy and Laplacian Energy of graphs.
  3. Ahmed M. Naiji and N. D. Soner. On The Maximum Eccentricity Energy of a graph.
  4. Chandrashekar adiga and M. Smitha, University of Mysore. On Maximum Degree Energy of a Graph.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-09-30

Issue

Volume 4, Issue 10, September-October-2018

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Priyanka R, Yashodha S, " A Study on Energy of A Graph, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 10, pp.198-201, September-October-2018. Available at doi : https://doi.org/10.32628/18410IJSRSET