Gutman Index and Harary Index of Unitary Cayley Graphs

  • Authors

    • Roshan Philipose Noorul Islam University
    • Sarasija P B Noorul Islam University
    2018-06-30
    https://doi.org/10.14419/ijet.v7i3.13269
  • Complete Graph, Gutman Index, Harary Index, Topological index, Unitary Cayley Graphs.

  • 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 & Technology, 7(3), 1243-1244. https://doi.org/10.14419/ijet.v7i3.13269