The modified Wiener index of some graph operations

Authors

  • Hossein Shabani University of Kashan, Iran
  • Ali Reza Ashrafi University of Kashan, Iran

DOI:

https://doi.org/10.26493/1855-3974.801.968

Keywords:

Modified Wiener index, graph operation, automorphism group

Abstract

Graovac and Pisanski [On the Wiener index of a graph, J. Math. Chem. 8 (1991) 53-62] applied an algebraic approach to generalize the Wiener index by symmetry group of the molecular graph under consideration. In this paper, exact formulas for this graph invariant under some graph operations are presented.

Author Biography

Hossein Shabani, University of Kashan, Iran

Department of Pure Mathematics, Faculty of Mathematical Science, University of Kashan

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Published

2015-12-16

Issue

Vol. 11 No. 2 (2016)

Section

Mathematical Chemistry Issue - In Memory of Ante Graovac

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/