FURTHER RESULTS ON ODD HARMONIOUS GRAPHS

Main Authors: M. E. Abdel-Aal, M. A. Seoud
Format: Article eJournal
Bahasa: eng
Terbitan: , 2021
Subjects:
Online Access: https://zenodo.org/record/4506975
Daftar Isi:
  • In [1] Abdel-Aal has introduced the notions of m-shadow graphs and n-splitting graphs, for all m, n ≥ 1. In this paper, we prove that, the m-shadow graphs for paths and complete bipartite graphs are odd harmonious graphs for all m ≥ 1. Also, we prove the n-splitting graphs for paths, stars and symmetric product between paths and null graphs are odd harmonious graphs for all n≥ 1. In addition, we present some examples to illustrate the proposed theories. Moreover, we show that some families of graphs admit odd harmonious libeling.