b - Bonacci Harmonious Graph on Finite Group

  • M. Angeline Ruba, Dr. J. Golden Ebenezer Jebamani, Dr. G. S. Grace Prema

Abstract

Consider the commutative group G.  We introduce a novel labeling system called b-Bonacci Harmonious labeling. If the vertices of a graph G with m edges can be labeled with different integers from the set {0, 1, 2, …, }, the derived edge labels are the b-Bonacci numbers. Then that graph is called b-Bonacci Harmonious graph. We demonstrate whether this are Fan graph, Bistar graph, Jelly Fish graph, Comb graph, Star graph, [ graph and Path graph are b-Bonacci Harmonious graph.The result of a study of the b-Bonacci Harmonious graph and its generalizations on Group are presented in this work.

Published
2021-10-27
How to Cite
M. Angeline Ruba, Dr. J. Golden Ebenezer Jebamani, Dr. G. S. Grace Prema. (2021). b - Bonacci Harmonious Graph on Finite Group. Design Engineering, 8493–8503. Retrieved from http://www.thedesignengineering.com/index.php/DE/article/view/5892
Section
Articles