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Prof. Alsayed alsayed mitwali badr :: Publications: |
Title: | 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 |
Authors: | E. M. Badr |
Year: | 2014 |
Keywords: | Not Available |
Journal: | Not Available |
Volume: | Not Available |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | |
Full paper | Alsayed alsayed mitwali badr_pxc3899825.pdf |
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)". |