University of Isfahan Transactions on Combinatorics 2251-8657 1 1 2012 03 01 Note on edge distance-balanced graphs 1 6 86 10.22108/toc.2012.86 EN M. Tavakoli H. Yousefi-Azari Ali Reza Ashrafi Journal Article 2011 08 03 Edge distance-balanced graphs are graphs in which for every edge $e = uv$ the number of edges closer to vertex $u$ than to vertex $v$ is equal to the number of edges closer to $v$ than to $u$. In this paper, we study this property under some graph operations. Edge distance-balanced vertex distance-balanced graph operation https://toc.ui.ac.ir/article_86_41c9776f55f12410740dfdfe4fa080ec.pdf