@article {
author = {Hayat, Fazal},
title = {On Generalized Atom-bond Connectivity Index of Cacti},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {319-330},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.195759.1456},
abstract = {The generalized atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for ABCa index for cacti of order $n$ with fixed number of cycles and for cacti of order $n$ with given number of pendant vertices. Furthermore, we identify all the cacti that achieve the bounds.},
keywords = {Atom-bond connectivity index,Cactus,Extremal graph,Pendant vertices},
url = {https://ijmc.kashanu.ac.ir/article_102513.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102513_935bc1ec217d14c2928b98f54b69e2c5.pdf}
}