The purpose of the paper is to study relations graphs and certain Skolem sequences. ## between graceful numbering of certain 2-regular In this paper, all graphs will be finite, without loops or multiple edges. For any graph G, the symbols V(G) and E(G) will denote its vertex set and its edge set,
On skolem graceful graphs
โ Scribed by S.M. Lee; S.C. Shee
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 471 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
Lee, S.M. and SC. Shee, On Skolem graceful graphs, Discrete Mathematics 93 (1991) 195-200. A Skolem graceful labelling of graphs is introduced. It is shown that a tree is Skolem graceful iff it is graceful. The Skolem deficiency of a graph is defined and Skolem deficiencies of some well-known graphs are calculated. The class of Skolem graceful graphs is shown to be finite universal.
๐ SIMILAR VOLUMES
In this paper, we prove that the n-cube is graceful, thus answering a conjecture of J.-C. Bermond and Gangopadhyay and Rao Hebbare. To do that, we introduce a special kind of graceful numbering, particular case of a-valuation, called strongly graceful and we prove that if a graph G is strongly grace
We give graceful numberings to the following graphs: (a) the union of n K4 having one edge in common, in other words the join of K2 and the union of n disjoint K2 and (b) the union of n C4 having one edge in common, in other words the product of K2 and K,,", with n + l not a multiple of 4.