A Study on Energy of A Graph

Authors(2) :-Priyanka R, Yashodha S

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.

Authors and Affiliations

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

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

  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.

Publication Details

Published in : Volume 4 | Issue 10 | September-October 2018
Date of Publication : 2018-09-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 198-201
Manuscript Number : IJSRSET1841048
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

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
Journal URL : http://ijsrset.com/IJSRSET1841048

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