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MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks

Pradeep Kumar R1 , Soner Nandappa D2 , M.R. Rajesh Kanna3

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-6 , Page no. 874-897, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i6.874897

Online published on Jun 30, 2018

Copyright © Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna, “MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks,” International Journal of Computer Sciences and Engineering, Vol.6, Issue.6, pp.874-897, 2018.

MLA Style Citation: Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna "MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks." International Journal of Computer Sciences and Engineering 6.6 (2018): 874-897.

APA Style Citation: Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna, (2018). MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks. International Journal of Computer Sciences and Engineering, 6(6), 874-897.

BibTex Style Citation:
@article{R_2018,
author = {Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna},
title = {MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {6 2018},
volume = {6},
Issue = {6},
month = {6},
year = {2018},
issn = {2347-2693},
pages = {874-897},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=2271},
doi = {https://doi.org/10.26438/ijcse/v6i6.874897}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i6.874897}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=2271
TI - MATLAB Program to Generate Harary energy of Certain Mesh Derived Networks
T2 - International Journal of Computer Sciences and Engineering
AU - Pradeep Kumar R, Soner Nandappa D, M.R. Rajesh Kanna
PY - 2018
DA - 2018/06/30
PB - IJCSE, Indore, INDIA
SP - 874-897
IS - 6
VL - 6
SN - 2347-2693
ER -

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Abstract

In this paper, we compute the Harary energy of grid, cylinder, torus, extended grid networks by using MATLAB code. Also we obtained Milovanovi`c bounds for Harary energy of a graph.

Key-Words / Index Term

MATLAB code, Harary energy, Grid, Cylinder, Torus, Extended grid

References

[1] I. Gutman, “The energy of a graph”, Ber. Math-Statist. Sekt. Forschungsz.Graz, 103, 1-22 1978.
[2] I. Gutman, “The energy of a graph: Old and New Results”, ed.by A. Betten, A. Kohnert, R. Laue, A. Wassermann. Algebraic Combinatorics and Applications (Springer, Berlin), pp. 196 – 211, 2001.
[3] D. Cvetkovic, I.Gutman (eds.), “Applications of Graph Spectra”, (Mathematical Insitution,Belgrade,2009).
[4] D. Cvetkovic, I.Gutman (eds.), “Selected Topics on Applications of Graph Spectra”, (Mathematical Institute Belgrade,2011).
[5] I.Gutman, X. Li, J.Zhang, in “Graph Energy”, ed. by M.Dehmer, F.Emmert - Streib. Analysis of Complex Networks. From Biology to Linguistics (Wiley - VCH, Weinheim,2009), pp. 145 174.
[6] Huiqing Liu, Mei Lu and Feng Tian, “Some upper bounds for the energy of graphs”. Journal of Mathematical Chemistry, Vol. 41, No.1, 2007.
[7] B.J.McClelland, “Properties of the latent roots of a matrix: The estimation of -electron energies”,.J. Chem. Phys.54, 640 – 643, 1971.
[8] A. Graovac, I.Gutman, N.Trinajstic,Topological, “Approach to the Chemistry of Conjugated Molecules” (Springer, Berlin,1977)
[9] I. Gutman, O.E. Polansky, “Mathematical Concepts in Organic Chemistry” (Springer, Berlin,1986).
[10] R. L. Graham and H. O. Pollak, “On the addressing problem for loop switching”, Bell Labs Technical Journal, 50, 2495 – 2519, 1971.
[11] G. Indulal, I. Gutman, A. Vijayakumar, “On distance energy of graphs”, MATCH Commun. Math. Comput. Chem., 60, 461 – 472, 2008.
[12] S. B. Bozkurt, A. D. Gungor, B. Zhou, “Note on the distance energy of graphs”, MATCH Commun. Math. Comput. Chem., 64, ,129 – 134, 2010.
[13] A. Dilek Gungor, A. Sinan Cevik, “On the Harary Energy and Harary Estrada Index of a Graph”, MATCH Commun. Math. Comput. Chem. 64, 281-296, 2010.
[14] A. D. Gungor and A. S. Cevik, “On the Harary energy and Harary Estrada index of a graph”, MATCH Communications in Mathematical and in Computer Chemistry, Vol. 64, 281 - 296, 2010.
[15] B.J.McClelland, “Properties of the latent roots of a matrix: The estimation of -electron energies”,.J. Chem. Phys.54, 640 – 643, 1971.
[16] B. Zhou, A. Ilic, “On distance spectral radius and distance energy of graphs”, MATCH Commun. Math. Comput. Chem. 64, 261 – 280, 2010.
[17] M. R. Rajesh Kanna, B. N. Dharmendra and R. Pradeep kumar, “Minimum covering Harary energy of a graph”, International Journal of Pure and Applied Mathematics, 90, No. 3, 371 – 385, 2014.
[18] Bharati Rajan, Sudeep Stephen, Albert William and Cyriac Grigorous, “On LAPLACIAN energy of certain mesh derived networks”, International Journal of Computer Applications, Vol 55, No. 11, 2012.
[19] I. Z. Milovanovic, E. I. Milovanovic, A. Zakic, “A Short note on Graph Energy”, MATH Commun. Math. Comput. Chem, 72, 179-182, 2014.
[20] H. S. Ramane, D. S. Revankar, I. Gutman, S. B. Rao, B. D. Acharya, H. B. Walikar, “Bounds for the distance energy of a graph”, Kragujevac J. Math., 31, 59-68, 2008.