RT - Journal Article T1 - Distance-Balanced Closure of Some Graphs JF - IJMSI YR - 2015 JO - IJMSI VO - 10 IS - 1 UR - http://ijmsi.ir/article-1-714-en.html SP - 95 EP - 102 K1 - Distances in graphs K1 - Distance-balanced graphs K1 - Distance-balanced closure. AB - In this paper we prove that any distance-balanced graph $G$ with $Delta(G)geq |V(G)|-3$ is regular. Also we define notion of distance-balanced closure of a graph and we find distance-balanced closures of trees $T$ with $Delta(T)geq |V(T)|-3$. LA eng UL http://ijmsi.ir/article-1-714-en.html M3 10.7508/ijmsi.2015.01.007 ER -