FURTHER RESULTS ON ODD HARMONIOUS GRAPHS
Main Author: | M. E. Abdel-Aal |
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Format: | Article Journal |
Bahasa: | eng |
Terbitan: |
, 2016
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Subjects: | |
Online Access: |
https://zenodo.org/record/1175373 |
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