Cordial Labeling of Double Antenna One Point Union Graphs

Abstract

We discuss graphs of type $G^{(k)}$ i.e. one point union of k-copies of G for cordial labeling. We take G as double tail graph of $C_{3}$. i.e. $G= tail(C_{3},2-P_{m})$. In $tail(C_{3},2-P_{m})$ graph double paths are attached at same point of $C_{3}$. We restrict our attention to $m = 2, 3, 4 $. Further we consider all possible structures of $G^{(k)}$ by changing the common point on G and obtain non-isomorphic structures. We show all these structures as cordial graphs. This is called as invariance of different structures under cordial labeling.