Some Properties of the Leap Eccentric Connectivity Index of Graphs

نویسندگان
Song, Ling ID 1
Hechao, Liu ID 2
Zikai, Tang ID 3

1 College of Mathematics and Statistics Hunan Normal University

2 School of Mathematics and Statistics, Hunan Normal University,Changsha, Hunan

3 Hunan Normal University

doi
10.22052/ijmc.2020.233343.1505
چکیده

The leap eccentric connectivity index of $G$ is defined as $$L\xi^{C}(G)=\sum_{v\in V(G)}d_{2}(v|G)e(v|G)$$ where $d_{2}(v|G) $ be the second degree of the vertex $v$ and $e(v|G)$ be the eccentricity of the vertex $v$ in $G$. In this paper, we give some properties of the leap eccentric connectivity index of the graph $G$.

کلیدواژه‌ها
Eccentricity, Second degrees, Leap eccentric connectivity index