BaEa, M., On magic labelings of honeycomb, Discrete Mathematics 105 (1992) 305-311. We deal with the problem of labeling the vertices, edges and faces of a hexagonal planar map in such a way that the label of a face and labels of vertices and edges surrounding that face add up to a fixed value. ##
Prime-magic labelings of Kn,n
✍ Scribed by M. Bača; I. Holländer
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 195 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The paper describes prime-magic labeling for the complete bipartite graph K+, andfor L, n > 5, formulates a conjecture.
📜 SIMILAR VOLUMES
We characterise edges in mixed graphs that get a iabel 0 for every labeling with a constant index (index 0, respectively). We use this to investigate the magicity of disconnected mixed graphs with magic components. For the undirected case a necessary and sufficient condition is derived. We consider
IS called a prime labelling if for each e = {u, u} in E, we have GCD(f(u),f(u))= 1. A graph admits a prime labelling is called a prime graph. Around ten years ago, Roger Entringer conjectured that every tree is prime. So far, this conjecture is still unsolved. In this paper, we show that the conject
The paper describes special ma~qic labelings gf' vertices, edges and ,faces qf' a special class of plane graphs ltlith 3-sided internal f&es, in which the labels of vertices and e&es incident with a,fkce sum to a value prescribedfor that face.
Let K,,, be the complete bipartite graph of order 2n. Two players, maker and breaker, alternately take previously untaken edges of K,.,, one edge per move, with the breaker going first. The game ends when all edges of K,,, have been taken. Then the edges taken by the maker induce a graph G. The make