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Dr. Mohamed elsayed abd el-aal :: Publications: |
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| Title: | 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: | |
| Full paper | Mohamed elsayed abd el-aal_Further_Results_on_Odd_Harmonious_Graphs.pdf |
| 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. |
