Cube Square Difference Labeling of Some Graphs

Abstract

A graph   is said to have a Cube square difference labeling if there exists a bijection   such that induced function  from  to  where  The set of natural numbers which are multiple of two, given by   is injective. A graph which admits Cube square difference labeling is a Cube square difference graph. In this paper we have proved that path, cycle, comb, crown, , , triangular snake , Total graph, , , Mirror, Flag, Ladder, Star, Two star, graph of a path , Broom graph,  ,  graph of a path  , Two copies of cycle  sharing common edge, , , , ,  , ,  , , The path union of star , Middle graph are cube square difference graphs