POLYHEDRAL GRAPHS UNDER AUTOMORPHISM GROUPS

Authors

  • Modjtaba GHORBANI Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, Iran. Email: mghorbani@srttu.edu. https://orcid.org/0000-0001-5623-9932
  • Mardjan HAKIMI-NEZHAAD Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, Iran. Corresponding author: mghorbani@srttu.edu. https://orcid.org/0000-0002-4638-6565

Keywords:

automorphism, polyhedral graphs, topological indices

Abstract

A modified Wiener number was proposed by Graovać and Pisanski. It is based on the full automorphism group of a graph. In this paper, we compute the difference between these topological indices for some polyhedral graphs.

References

H.J. Wiener, J. Am. Chem. Soc.,1947, 69, 17.

M. Randić, X. Guo, T. Oxley, H. Krishnapriyan,L. Naylor, J. Chem. Inf. Comput. Sci., 1994, 34, 361.

D.J. Klein, I. Lukovits, I. Gutman, J. Chem. Inf. Comput. Sci, 1995, 35, 50.

J.E. Graver, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., Amer. Math. Soc., Providence, RI, 2005, 69,167.

I. Gutman, L. Šoltés, Z. Naturforsch., 1991, 46a, 865.

M. Ghorbani, T. Ghorbani, Studia Univ. Babes-Bolyai, Chemia, 2013, 58, 43.

A. Graovać, T. Pisanski, J. Math. Chem, 1991, 8, 53.

M. Ghorbani, S. Klavžar, Ars Math. Contemp., accepted.

F. Koorepazan-Moftakhar, A.R. Ashrafi, Match, 2015, 75, 259.

M. Hakimi-Nezhaad, M. Ghorbani, J. Math. Nanosci, 2014, 4, 19.

M. Ghorbani, M. Hakimi-Nezhaad, Fullerenes, Nanotubes and Carbon Nanostructures, accepted.

M. Ghorbani, J. Math. Nanosci, 2013, 3, 33.

H. Zhang, D. Ye, J. Math. Chem., 2007, 41, 123.

Downloads

Published

2016-03-30

How to Cite

GHORBANI, M. ., & HAKIMI-NEZHAAD, M. . (2016). POLYHEDRAL GRAPHS UNDER AUTOMORPHISM GROUPS. Studia Universitatis Babeș-Bolyai Chemia, 61(1), 261–272. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/chemia/article/view/8299

Issue

Section

Articles

Similar Articles

<< < 1 2 3 4 > >> 

You may also start an advanced similarity search for this article.