Abstract
The atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are two well-studied topological indices and found to be useful tools in QSPR and QSAR investigations. We have compared the excepted values of ABC and GA indices in random spiro chains. In this paper, we further establish simple explicit formulae for the expected values of ABC and GA indices in random polyphenyl chains which are graphs of a class of unbranched polycyclic aromatic hydrocarbons and present the average values of ABC and GA indices with respect to the set of all polyphenyl chains with n hexagons. Based on these formulae, we make comparisons between the expected values of ABC and GA indices in random polyphenyl chains.
Acknowledgments
The authors would like to thank the anonymous referees for their constructive suggestions and valuable comments on this paper, which have contributed to the final preparation of the paper.
Competing interests
The authors declare that they have no competing interests.
Authors’ contributions
XK carried out the proofs of the main results in the manuscript. SW and JH participated in the design of the study and drafted the manuscript. All the authors read and approved the final manuscript.