| publication name | E. M. Badr (2012): On the Odd Gracefulness of Cyclic Snakes With Pendant Edges , Journal on Applications of Graph Theory in Wireless Ad hoc Networks and Sensor Networks (GRAPH-HOC), 4(4), 1 - 9. |
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| Authors | E. M. Badr |
| year | 2012 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://airccse.org/journal/graphhoc/papers/4412jgraph01.pdf |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
Graceful and odd gracefulness of a graph are two entirely different concepts. A graph may posses one or both of these or neither. We present four new families of odd graceful graphs. In particular we show an odd graceful labeling of the linear and therefore we introduce the odd graceful labeling of ( for the general case ). We prove that the subdivision of linear is odd graceful. We also prove that the subdivision of linear with m-pendant edges is odd graceful. Finally, we present an odd graceful labeling of the crown graph .