| publication name | FURTHER RESULTS ON ODD HARMONIOUS GRAPHS |
|---|---|
| Authors | M.A.Seoud M.E.Abdel-Aal |
| year | 2016 |
| keywords | Odd harmonious labeling, m-shadow graph, m-splitting graph. |
| journal | International Journal on Applications of Graph Theory in Wireless Ad hoc Networks and Sensor Networks (GRAPH-HOC) |
| volume | 8 |
| issue | 3 |
| pages | 14 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | https://www.researchgate.net/profile/Mohamed-Abdel-Aal-6/publication/312260881_Further_Results_on_Odd_Harmonious_Graphs/links/5ba6117945851574f7dd7d8c/Further-Results-on-Odd-Harmonious-Graphs.pdf |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
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.