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Dr. Mohamed elsayed abd el-aal :: Publications: |
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| Title: | New classes of odd graceful graphs |
| Authors: | Not Available |
| Year: | 2013 |
| Keywords: | Odd graceful, m-shadow graph, m-splitting graph, Symmetric product. |
| Journal: | International journal on applications of graph theory in wireless ad hoc networks and sensor networks (GRAPH-HOC) |
| Volume: | 5 |
| Issue: | 2 |
| Pages: | 12 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed elsayed abd el-aal_New_Classes_of_Odd_Graceful_Graphs.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, we introduce the notions of m-shadow graphs and n-splitting graphs,m ≥ 2, n ≥ 1. We prove that, the m-shadow graphs for paths, complete bipartite graphs and symmetric product between paths and null graphs are odd graceful. In addition, we show that, the m-splitting graphs for paths, stars and symmetric product between paths and null graphs are odd graceful. Finally, we present some examples to illustrate the proposed theories. |
