Title of article :
On Some Properties of Edge Quasi-Distance-Balanced Graphs
Author/Authors :
Aliannejadi, Zohreh Islamic Azad University South-Tehran Branch, Tehran , Gilani, Alireza Islamic Azad University South-Tehran Branch, Tehran , Alaeiyan, Mehdi Iran University of Science and Technology, Tehran , Asadpour, Jafar Islamic Azad University South-Tehran Branch, Tehran
Abstract :
The aim of this paper is to investigate the notion of cycles in edge quasi-distance-balanced graphs,and expand some techniques generalizing new outcome that every edge
quasi-distance-balanced graph is complete bipartite graph. As well as, it
is demontrated that connected quasi-distance-balanced graph admitting
a bridge is not edge quasi-distance-balanced graph.
Keywords :
distance-balanced graphs , quasi-distance- balanced graphs , edge quasi-distance-balanced graphs , complete bipartite graphs , bridge
Journal title :
Journal of Mathematical Extension(IJME)
