Labeling of Chordal Rings

Abstract

The chordal ring of order n, denoted by CRn(x, y, z), is the graph with vertex set Zn, an additive group of integers modulo n, and adjacencies given by i '"i+ x, i '"i + y, i '"i + z for all even vertex i and distinct odd integers x, y, z in [1,n-l]. In this paper, we provide super vertex-magic total labeling of CRn(l, 3,5), n == O(mod4) and (a, d)-antimagic labeling of CRn(l, 3, 7), n == O(mod4).