Distance Energy of Certain Mesh Derived Networks and Milovanović Bounds

M.R. Rajesh Kanna; R. Jagadeesh; R. Pradeep Kumar; R.A Ramyashree

doi:https://doi.org/10.14445/22315373/IJMTT-V29P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 29 | Number 1 | Year 2016 | Article Id. IJMTT-V29P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V29P501

Distance Energy of Certain Mesh Derived Networks and Milovanović Bounds

M.R. Rajesh Kanna, R. Jagadeesh , R. Pradeep Kumar, R.A Ramyashree

Abstract

In this paper, we compute the distance energy of grid, cylinder, torus, extended grid networks by using matlab. Also we obtained Milovanović bounds for distance energy of a graph.

Keywords

Distance matrix, Distance energy, Grid, Cylinder, Torus, Extended grid, Milovanović bounds.

References

[1] Bharati Rajan, Sudeep Stephen, Albert William, Cyriac Grigorous, On Laplacian Energy of Certain Mesh Derived Networks, International Journal of Computer Applications, Vol. 55- No.11, (2012).
[2] D.Cvetkovic, I. Gutman (eds.), Applications of Graph Spectra (Mathematical Institution, Belgrade,2009)
[3] D. Cvetkovic, I. Gutman (eds.) Selected Topics on Applications of Graph Spectra, (Mathematical Institute Belgrade,2011).
[4] I. Gutman, The energy of a graph.Ber. Math-Statist. Sekt. Forschungsz.Graz 103,1-22 (1978).
[5] I. Gutman, O.E. Polansky, Mathematical Concepts in Organic Chemistry (Springer, Berlin,1986).
[6] I. Gutman, in 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, 2001), pp. 196 - 211.
[7] R. L. Graham, H. O. Pollak, On the addressing problem for loop switching, Bell System Tech.J. 50 (1971) 2495-2519.
[8] 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 (2008), 59-68.
[9] I. Ž. Milovanović, E. I. Milovanović, A. Zakić, A Short note on Graph Energy, MATH Commun. Math. Comput. Chem, 72 (2014) 179-182.
[10] G. Indulal, I. Gutman, A. Vijaykumar, On the distance energy of a graph, MATCH Commun. Math. Comput. Chem. 60 (2008), 461-472.

Citation :

M.R. Rajesh Kanna, R. Jagadeesh , R. Pradeep Kumar, R.A Ramyashree, "Distance Energy of Certain Mesh Derived Networks and Milovanović Bounds," International Journal of Mathematics Trends and Technology (IJMTT), vol. 29, no. 1, pp. 1-8, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V29P501