| publication name | E. M. Badr (2015) " On Graceful Labeling of the Generalization of Cyclic Snakes" Journal of Discrete Mathematical Sciences and Cryptography 18 (6), 773-783, 2015.[ISI Indxed : SJR 0.13] |
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| Authors | E. M. Badr |
| year | 2015 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The aim of this paper is to present a new class of graceful graphs. In particular, we show that linear cyclic snakes (1, k) C4- snake and (2, k) C4- snake are graceful. We also prove that linear cyclic snakes (1, k) C8- snake and (2, k) C8- snake are graceful. We generalize the above results " the linear cyclic snakes (m, k) C4- snake and (m, k) C8- snake are graceful ". Finally, we introduce a new conjecture" All the linear cyclic snakes (m, k) Cn-snakes are graceful if n 0 (mod 4 ) or n 3 (mod 4 )".