Staff Members - Benha University
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]
• 2015
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Authors
E. M. Badr
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publication.type
International
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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 )".