@article {
author = {Noureen, Sadia and Ahmad Bhatti, Akhlaq},
title = {On the Trees with Given Matching Number and the Modified First Zagreb Connection Index},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {12},
number = {3},
pages = {127-138},
year = {2021},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2021.242169.1554},
abstract = {The modified first Zagreb connection index ZC∗1 for a graph G is defined as ZC∗1 (G) = \sum v∈V (G) dvτv , where dv is the degree of the vertex v and τv denotes the connection number of v (that is, the number of vertices at the distance 2 from the vertex v). Let Tn,α be the class of trees with order n and matching number α such that n > 2α−1. In this paper, we obtain the lower bounds on the modified first Zagreb connection index of trees belonging to the class Tn,α, for 2α − 1 < n < 3α + 2.},
keywords = {extremal graph theory,modified first Zagreb connection index,matching number,Trees},
url = {https://ijmc.kashanu.ac.ir/article_111515.html},
eprint = {https://ijmc.kashanu.ac.ir/article_111515_484b409936d065a89799b3a7e36adc56.pdf}
}