University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 11 4 2020 12 01 Some Properties of the Leap Eccentric Connectivity Index of Graphs 227 237 111287 10.22052/ijmc.2020.233343.1505 EN Ling Song College of Mathematics and Statistics Hunan Normal University Liu Hechao School of Mathematics and Statistics, Hunan Normal University,Changsha, Hunan Tang Zikai Hunan Normal University Journal Article 2020 05 30 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 $G$. https://ijmc.kashanu.ac.ir/article_111287_4b43297eb60144e50590fd985aba2e95.pdf