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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 3 | Year 2018 | Article Id. IJMTT-V62P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P523

A Study on Energy of Certain Graphs using MATLAB Program


Arundhadhi R, Megala B
Abstract

The Energy E(G)of a graph G is the sum of the absolute value of eigenvalues of its adjacency matrix. In this paper, we have obtained the energy of Cartesian product of paths and cycles. We have also obtained the energy of complete bipartite graph, shell graph and double star using MATLAB program.

Keywords
MATLAB program, Cartesian product, energy of graph, shell graph, double star graph.
References

[1] C. Adiga, M.Smitha, “On maximum degree energy of a graph,”Int. J. Contemp. Math. Sci., vol. 4, pp. 385-396, 2009.
[2] Douglas B.West , Introduction to Graph Theory, 2nd ed., 2003.
[3] I. Gutman, The energy of a graph: Old and new results, Algebraic combinatorics and Applications, Springer- Verlag, Berlin, pp.196-211, 2001.
[4] G. Indulal, I.Gutman, A. Vijayakumar, “On distance energy of graphs,” MATCH. Commun. Math. Comput. Chem., vol. 60, pp. 461-472, 2008.
[5] Ivan Gutman, “The energy of a graph,” 10.Steiermarkisches Mathematises Symposium(Stift rain, Graz, 1978), vol. 103, pp. 1-22, 1978.
[6] H. Liu, M. Lu, F. Tian, “Some upper bounds for the energy of graphs,” J. Math. Chem., vol. 41, pp. 45-57, 2007.
[7] Mohammadreza Jooyandeh, Dariush kiani, Maryam Mirzakhah,“Incidence Energy of a Graph,” MATCH. Commun. Math. Comput. Chem., vol. 62, pp. 561-572, 2009.
[8] Sangeeta Gupta, Sweta Srivastav, “MATLAB program for energy of some graphs,” Int. J. Appl. Eng. Research.,vol. 15, pp. 10145-10147, 2017.

Citation :

Arundhadhi R, Megala B, "A Study on Energy of Certain Graphs using MATLAB Program," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 3, pp. 164-169, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P523

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