International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 7

Some results on cubic harmonious labeling

  • Author:
  • Mini. S. Thomas, T.K Mathew Varkey
  • Total Page Count: 3
  • Page Number: 131 to 133

Asst. Prof, Department of Mathematics, ILM College of Engineering And Technology, Eranakulam, Kerala, India

Online published on 19 April, 2019.

Abstract

A (n, m) graph G =(V, E) is said to be Cubic Harmonious Graph(CHG) if there exists an injective function f: V(G)→{1, 2, 3, ………m3+1} such that the induced mapping f *chg: E(G)→ {13, 23, 33, ……….m3} defined by f *chg(uv) = (f(u)+f(v)) mod (m3+1) is a bijection. Here we will discuss about cubic harmonious labeling techniques of the graph Pn O K1-e and twig graph.

Keywords

Comb graph, Cubic harmonious graph, Harmonious graph, Path graph. Twig graph