Small topological complete subgraphs of “dense” graphs
✍ Scribed by A. Kostochka; L. Pyber
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- English
- Weight
- 153 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
A graph G is called k-critical if x(G) = k and x(G -e) -C x(G) for each edge e of G, where x denotes the chromatic number. T. Gallai conjectured that every k-critical graph of order n contains at most n complete (kl)-subgraphs. In 1987, Stiebitz proved Gallai's conjecture in the case k = 4, and in 1
It is shown that if three vertices of the graph c?(l)) of a convex 3-polytope P are chosen, then G(P) contains a refinement of the complete graph C,, on four vertices, for which the three chosen vertices are principal (that is, correspond to vertices of C, in the refinement.. In general, all four ve