- Cordial labeling of Some Cycle Related Graphs
Journal Title: American journal of Engineering Research - Year 2016, Vol 5, Issue 10
Abstract
A p 2 - cordial labeling of a graph G with p vertices is a bijection f: V(G) {1, 2, 3,…, p} defined by 1 (u) f(v) (e uv) 2 0 p if f f otherwise and f f e (0) e (1) 1 . If a graph has p 2 - cordial labeling then it is called p 2 - cordial where p 2 represents the nearest integer less than or equal to 2 p In this paper we prove Cn is 2 p - cordial graph for n ≥ 3, except for n = 4 and the graph obtained by duplication of an arbitrary vertex by a new edge in cycle Cn is 2 p - cordial and the graph obtained by duplication of an arbitrary edge by a new vertex in cycle Cn is 2 p -cordial. By a graph we mean a finite, undirected graph without multiple edges or loops. For graph theoretic terminology, we refer to Harary [2] and Bondy [1].
Authors and Affiliations
D. S. T. Ramesh1 ,, K. Jenita Devanesam2
Keywords
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