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Prof. Alsayed alsayed mitwali badr :: Publications: |
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| Title: | E. M. Badr and M. I. Moussa (2012): ODD GRACEFUL LABELINGS OF CYCLIC SNAKES, Electronic Journal of Nonlinear Analysis and Application, Vol. 6, 115-119. |
| Authors: | E. M. Badr and M. I. Moussa |
| Year: | 2012 |
| 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_115-119.pdf |
| Supplementary materials | Not Available |
| Abstract: |
A difference vertex labeling of a graph G an assignment of labels to the vertex of G that induces for each edge xy the weight | (x) - (y)|. A difference vertex labeling of a graph G of size n is odd-graceful if is an injection from V(G) to {0, 1, 2, …, 2q-1} such that the induced weights are {1, 3, 5, …, 2q-1}. In this paper, we present odd graceful labelings of some graphs. In particular we show, odd graceful labelings of the kC4- snakes ( for the general case), kC8 and kC12- snakes ( for even case). We also prove that the linear kCn- snakes is odd graceful if and only if n and k are even |
