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IJET International Journal of Engineering and Technology E-ISSN 2227-524X

Gutman Index and Harary Index of 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}.

Authors and Affiliations

About this article

DOI
https://doi.org/10.14419/ijet.v7i3.13269
Received
25-05-2018
Accepted
12-06-2018
Published
30-06-2018
Views
624
Downloads
341
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Keywords

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

References

[1] I. Gutman, “Selected Properties of the Schultz Molecular Topological Index”, 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 Structures”, Applied Mathematical Sciences, Vol.6, No.108, (2012), pp.5383-5401.

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

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


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

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