TY - JOUR
AU - Dehgardi, N.
AU - Aram, H.
PY - 2021/08/19
Y2 - 2024/06/16
TI - Bounds on the first leap Zagreb index of trees
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.13.2.377-385
UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/4403
SP - 377-385
AB - <p>The first leap Zagreb index $LM1(G)$ of a graph $G$ is the sum of the squares of its second vertex degrees, that is, $LM_1(G)=\sum_{v\in V(G)}d_2(v/G)^2$, where $d_2(v/G)$ is the number of second neighbors of $v$ in $G$. In this paper, we obtain bounds for the first leap Zagreb index of trees and determine the extremal trees achieving these bounds.</p>
ER -