Title of article :
Some Properties of the Leap Eccentric Connectivity Index of Graphs
Author/Authors :
Song ، Ling School of Mathematics and Statistics - Hunan Normal University Hunan Normal University , Hechao ، Liu School of Mathematics and Statistics - Hunan Normal University , Zikai ، Tang School of Mathematics and Statistics - Hunan Normal University
Abstract :
The leap eccentric connectivity index of $G$ is defined as $$Lxi^{C}(G)=sum_{vin V(G)}d_{2}(v|G)e(v|G)$$ 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 $G$.
Keywords :
Eccentricity , Second degrees , Leap eccentric connectivity index
Journal title :
Iranian Journal of Mathematical Chemistry
Journal title :
Iranian Journal of Mathematical Chemistry