Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > BMSA Volume 20 > On F-Polynomial, Multiple and Hyper F-Index of...
< Back to Volume

On F-Polynomial, Multiple and Hyper F-Index of some Molecular Graphs

Full Text PDF


A graph can be recognized by a numeric number, a polynomial, a sequence of numbers or a matrix which represent the whole graph, and these representations are aimed to be uniquely defined for that graph. Topological index is a numeric quantity with a graph which characterizes the topology of the graph and is invariant under graph automorphism. In this paper, we compute F-polynomial, Multiple F-index and Hyper F-index for some special graphs.


Bulletin of Mathematical Sciences and Applications (Volume 20)
S. Ghobadi and M. Ghorbaninejad, "On F-Polynomial, Multiple and Hyper F-Index of some Molecular Graphs", Bulletin of Mathematical Sciences and Applications, Vol. 20, pp. 36-43, 2018
Online since:
November 2018

[1] N. De, Sk.Md. Abu Nayeem, Computing the F-index of nanostar dendrimers, Pasific Science Review A: Natural Science and Engineering. 18(1) (2016) 14-21.


[2] B. Furtula, I. Gutman, A forgotten topological index, J. Math. Chem. 53(4)(2015) 1184-1190.


[3] M. Ghorbani, N.Azimi, Note on multiple zagreb indices, Iran J. Math. Chem. 3(2)(2012) 137-143.

[4] I. Gutman, K.C. Das, Some properties of the second Zagreb index, Match Common. Math. Comput. Chem. 52 (2004) 103-112.

[5] I. Gutman, N. Trinajstic, Graph theory and molecular orbitals. III. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17(4) (1972) 535-538.


[6] H. Lowell Hall, B. Lemont Kier, Molecular connectivity in chemistry and drug research, Boston: Academic Press, 1976. ISBN 0-12-406560-0.

[7] M.K. Siddiqui, M. Imran, A. Ahmad, On zagreb indices, zagreb polynomials of some nanostar dendrimers, Appl. Math. comput. 280 (2016) 132-139.


[8] G.H. Shirdel, H.R. Pour, A.M. Sayadi, The hyper-zagreb index of graph operations, Iran J. Math. Chem. 4(2) (2013) 213-220.

[9] H.J. Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc. 69(1) (1947) 17-20.

Show More Hide
Cited By:

[1] X. Wang, J. Liu, A. Jahanbani, M. Siddiqui, N. Rad, R. Hasni, "On Generalized Topological Indices of Silicon-Carbon", Journal of Mathematics, Vol. 2020, p. 1, 2020


[2] A. Jahanbani, Z. Shao, S. Sheikholeslami, "Calculating degree based multiplicative topological indices of Hyaluronic Acid-Paclitaxel conjugates’ molecular structure in cancer treatment", Journal of Biomolecular Structure and Dynamics, p. 1, 2020