Let i be a positive integer. We generalize the chromatic number x ( G ) of G and the clique number w(G) of G as follows: The i-chromatic number of G , denoted by x Z ( G ) , is the least number k for which G has a vertex partition V,, V,, . . . , Vk: such that the clique number of the subgraph induc
Perfect couples of graphs
✍ Scribed by János Körner; Gábor Simonyi; Zsolt Tuza
- Book ID
- 105116912
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 662 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
The cycle graph of a graph G is the edge intersection graph of the set of all the induced cycles of G. G is called cycle-perfect if G and its cycle graph have no chordless cycles of odd length at least five. We prove the statement of the title. 0 1996 John Wiley &
## Abstract Two graphs on the same vertex set form a cross‐intersecting couple if they have a pair of clique coverings with the property that every pair of cliques from the respective coverings intersect. In particular, a graph is called normal if it forms a cross‐intersecting couple with its compl