1. MORE ON EDGE HYPER WIENER INDEX OF GRAPHS

A. Alhevaz; M. Baghipur

Volume 4, Issue 2 , Winter and Spring 2017, , Pages 135-153

Abstract
  ‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=\sum_{\{f,g\}\subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=\frac{1}{2}\sum_{f\in E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ...  Read More