| publication name | E.M. Badr (2014), "On Odd Graceful Labeling of the Generalization of Cyclic Snakes", International Journal of Computer Applications (0975 – 8887) Volume 106 – No. 12, November 2014 |
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| Authors | E. M. Badr |
| year | 2014 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://www.ijcaonline.org/archives/volume106/number12/18574-9825 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The objective of this paper is to present a new class of odd graceful graphs. In particular, we show that the linear cyclic snakes (1, k) C4- snake and (2, k) C4- snake are odd graceful. We prove that the linear cyclic snakes (1, k) C6- snake and (2, k) C6- snake are odd graceful. We also prove that the linear cyclic snakes (1, k) C8- snake and (2, k) C8- snake are odd graceful. We generalize the above results "the linear cyclic snakes (m, k) C4- snake, (m, k) C6-snake and (m, k) C8-snake are odd graceful ". Finally, we introduce a new conjecture" All the linear cyclic snakes (m, k) Cn-snakes are odd graceful if n is even)".