Gutman Index and Harary Index of Unitary Cayley Graphs

Authors

  • Roshan Philipose

    Noorul Islam University

  • Sarasija P B

    Noorul Islam University

How to Cite

Philipose, R., & P B, S. (2018). Gutman Index and Harary Index of Unitary Cayley Graphs. International Journal of Engineering and Technology, 7(3), 1243-1244. https://doi.org/10.14419/ijet.v7i3.13269

Received date: May 25, 2018

Accepted date: June 12, 2018

Published date: June 30, 2018

DOI:

https://doi.org/10.14419/ijet.v7i3.13269

Keywords:

Complete Graph, Gutman Index, Harary Index, Topological index, Unitary Cayley Graphs.

Abstract

In this paper, we determine the Gutman Index and Harary Index of Unitary Cayley Graphs. The Unitary Cayley Graph Xn is the graph with vertex set  V(Xn) ={u|u∈ Zn} and edge set {uv|gcd(u−v, n) = 1 and u, v ∈ Zn }, where Zn ={0,1,...,n−1}.

References

  1. [1] I. Gutman, “Selected Properties of the Schultz Molecular Topological Indexâ€, J. Chem. Inf. Comput. Sci., 34, (1994), pp.1087-1089.

    [2] J. A Bondy, U.S.R Murty, Graph Theory with Application, Macmillian press, London, (1976).

    [3] J. Baskar Babujee, S. Ramakrishnan, “Topological Indices and New Graph Structuresâ€, Applied Mathematical Sciences, Vol.6, No.108, (2012), pp.5383-5401.

    [4] W. Klotz and T. Slander, “Some properties of Unitary Cayley graphsâ€, The Electronic Journal of Combinatorics, 14, (2007), pp.1-12.

    [5] Zhihui Cui, Bolian Lui, “On Harary Matrix, Harary Index and Harary Energyâ€, MATCH Commun. Math. Comput. Chem., 68, (2012), pp.815-823.

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How to Cite

Philipose, R., & P B, S. (2018). Gutman Index and Harary Index of Unitary Cayley Graphs. International Journal of Engineering and Technology, 7(3), 1243-1244. https://doi.org/10.14419/ijet.v7i3.13269

Received date: May 25, 2018

Accepted date: June 12, 2018

Published date: June 30, 2018