%0 Journal Article
%T On the Trees with Given Matching Number and the Modified First Zagreb Connection Index
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Noureen, Sadia
%A Ahmad Bhatti, Akhlaq
%D 2021
%\ 09/01/2021
%V 12
%N 3
%P 127-138
%! On the Trees with Given Matching Number and the Modified First Zagreb Connection Index
%K extremal graph theory
%K modified first Zagreb connection index
%K matching number
%K Trees
%R 10.22052/ijmc.2021.242169.1554
%X 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.
%U https://ijmc.kashanu.ac.ir/article_111515_484b409936d065a89799b3a7e36adc56.pdf