@article{Wang2024, 
author = {Zhen Wang and Kai Zhou},
title = {On the maximum atom-bond sum-connectivity index of unicyclic graphs with given diameter},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22239-22250},
keywords = {atom-bond sum-connectivity index, unicyclic graph, diameter, pendent vertex},
url = {https://www.sciopen.com/article/10.3934/math.20241082},
doi = {10.3934/math.20241082},
abstract = {Let  G=(V(G),E(G)) be a simple connected graph with vertex set  V(G) and edge set  E(G). The atom-bond sum-connectivity (ABS) index was proposed recently and is defined as  ABS(G)=∑uv∈E(G)dG(u)+dG(v)−2dG(u)+dG(v), where  dG(u) represents the degree of vertex  u∈V(G). A connected graph  G is called a unicyclic graph if  |V(G)|=|E(G)|. In this paper, we determine the maximum ABS index of unicyclic graphs with given diameter. In addition, the corresponding extremal graphs are characterized.}
}