@article {
author = {Liu, Hechao and You, Lihua and Tang, Zikai},
title = {On the Revised Edge-Szeged Index of Graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {279-293},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.200349.1460},
abstract = {The revised edge-Szeged index of a connected graph $G$ is defined as Sze*(G)=∑e=uv∊E(G)( (mu(e|G)+(m0(e|G)/2)(mv(e|G)+(m0(e|G)/2) ), where mu(e|G), mv(e|G) and m0(e|G) are, respectively, the number of edges of G lying closer to vertex u than to vertex v, the number of edges of G lying closer to vertex v than to vertex u, and the number of edges equidistant to u and v. In this paper, we give an effective method for computing the revised edge-Szeged index of unicyclic graphs and using this result we identify the minimum revised edge-Szeged index of conjugated unicyclic graphs (i.e., unicyclic graphs with a perfect matching). We also give a method of calculating revised edge-Szeged index of the joint graph.},
keywords = {Revised edge-Szeged index,Conjugated unicyclic graph,Join graph},
url = {https://ijmc.kashanu.ac.ir/article_102191.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102191_dd77ab587a307bd7e4971623d96ef182.pdf}
}