3-product cordial labeling of some snake graphs.



Cordial labeling, Product cordial labeling, 3-product cordial labeling, 3-product cordial graph, Alternate triangular snake, Doublé alternate triangular snake, Triangular snake graph


Let G be a (p,q) graph. A mapping 𝑓 : V (G) → {0, 1, 2} is called 3-product cordial labeling if |v𝑓(i) − v𝑓 (j)| ≤ 1 and |e𝑓 (i) − e𝑓 (j)| ≤ 1 for any i, j ∈ {0, 1, 2},where v𝑓 (i) denotes the number of vertices labeled with i, e𝑓 (i) denotes the number of edges xy with 𝑓(x)𝑓(y) ≡ i(mod3). A graph with 3-product cordial labeling is called 3-product cordial graph. In this paper we investigate the 3-product cordial behavior of alternate triangular snake, double alternate triangular snake and triangular snake graphs.

Author Biographies

P. Jeyanthi, Govindammal Aditanar College for Women.

Department of Mathematics, Research Centre.

A. Maheswari, Kamaraj College of Engineering and Technology.

Department of Mathematics.

M. Vijayalakshmi, Dr. G. U. Pope College of Engineering.

Department of Mathematics.


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How to Cite

P. Jeyanthi, A. Maheswari, and M. Vijayalakshmi, “3-product cordial labeling of some snake graphs.”, Proyecciones (Antofagasta, On line), vol. 38, no. 1, pp. 13-30, Feb. 2019.