| publication name | New classes of odd graceful graphs |
|---|---|
| Authors | |
| 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 | https://d1wqtxts1xzle7.cloudfront.net/38304670/5213jgraph01-libre.pdf?1437995354=&response-content-disposition=inline%3B+filename%3DNew_Classes_of_Odd_Graceful_Graphs.pdf&Expires=1676919967&Signature=cVg1iYEeV7EANDbyq~BhxUtmm4-4WJStfmpOnGLcNmQLF3dqmZgOZYeB6fFjr~eVsEuzUpQZ6qVW0iBjYr11QnIlczPD1mr6lQMiM7e9ZE4zFMTcHxx9xLDtgeEyrPXqk8rohBReuRMCuwYc7Si85yCmGEqd94Gi-WCU2L1okU2HAjYcVDaHGURI3N9efh7rNTcaHme6GKNRy--oNwlx2BqsAlQWAqX-O6wKwPGQWXR5z8RiM18lpX2wo1tI85N2pxEUz-hV0mwCBwCZch1QpPmgkxd237~8sFk2rzWyLvyKr99V1FC9fUdeoLgEe7pfuDBJjbxu61Qnf4NxvlH9cw__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA |
| Full paper | download |
| 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.