International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 106 - Issue 12 |
Published: November 2014 |
Authors: E. M. Badr |
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E. M. Badr . On Odd Graceful Labeling of the Generalization of Cyclic Snakes. International Journal of Computer Applications. 106, 12 (November 2014), 26-32. DOI=10.5120/18574-9825
@article{ 10.5120/18574-9825, author = { E. M. Badr }, title = { On Odd Graceful Labeling of the Generalization of Cyclic Snakes }, journal = { International Journal of Computer Applications }, year = { 2014 }, volume = { 106 }, number = { 12 }, pages = { 26-32 }, doi = { 10.5120/18574-9825 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2014 %A E. M. Badr %T On Odd Graceful Labeling of the Generalization of Cyclic Snakes%T %J International Journal of Computer Applications %V 106 %N 12 %P 26-32 %R 10.5120/18574-9825 %I Foundation of Computer Science (FCS), NY, USA
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)".