Probabilistic Properties of F-indices of Trees

Document Type: Original Scientific Paper

Authors

Department of Statistics, Imam Khomeini International University, Qazvin, I. R. Iran

Abstract

‎The aim of this paper is to introduce some results for the F-index of the tree structures without any information on the exact values of vertex degrees‎. Three martingales related to the first Zagreb index and F-index are given‎.

Keywords


[1] P. Billingsley, Probability and Measure, John Wiley & Sons, New York, 1885.
[2] Z. Che and Z. Chen, Lower and upper bounds of the forgotten topological
index, MATCH Commun. Math. Comput. Chem. 76 (2016) 635–648.
[3] T. Doslic, T. Réti and D. Vukicevic, On the vertex degree indices of connected
graphs, Chem. Phys. Lett. 512 (2011) 283–286.
[4] B. Furtula and I. Gutman, A forgotten topological index, J. Math. Chem. 53
(2015) 1184–1190.
[5] W. Gao, M. R. Farahani and L. Shi, Forgotten topological index of some drug
structures, Acta Med. Medit. 32 (2016) 579–585.

[6] I. Gutman and N. Trinajstic, Graph theory and molecular orbitals. Total
-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972)
535–538.
[7] R. Kazemi, The eccentric connectivity index of bucket recursive trees, Iranian
J. Math. Chem. 5 (2014) 77–83.
[8] Y. C. Sun, Z. Lin, W. X. Peng, T. Q. Yuan, F. Xu, Y. Q. Wu, J. Yang, Y. S.
Wang and R. C. Sun, Chemical changes of raw materials and manufactured
binderless boards during hot pressing: lignin isolation and characterization,
BioResources 9 (2014) 1055–1071.


Volume 4, Issue 2
Special Issue: Spectral Graph Theory and Mathematical Chemistry with Connection to Computer Science
Autumn 2019
Pages 253-261