TY - JOUR
ID - 111515
TI - On the Trees with Given Matching Number and the Modified First Zagreb Connection Index
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Noureen, Sadia
AU - Ahmad Bhatti, Akhlaq
AD - Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, B-Block, Faisal Town, Lahore, Pakistan
AD - Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, B-Block, Faisal Town, Lahore, Pakistan
Y1 - 2021
PY - 2021
VL - 12
IS - 3
SP - 127
EP - 138
KW - extremal graph theory
KW - modified first Zagreb connection index
KW - matching number
KW - Trees
DO - 10.22052/ijmc.2021.242169.1554
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_111515.html
L1 - https://ijmc.kashanu.ac.ir/article_111515_484b409936d065a89799b3a7e36adc56.pdf
ER -