Cayley partitionable graphs
✍ Scribed by A. Pâcher
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 230 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1571-0653
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## Abstract Results of Lovász (1972) and Padberg (1974) imply that partitionable graphs contain all the potential counterexamples to Berge's famous Strong Perfect Graph Conjecture. A recursive method of generating partitionable graphs was suggested by Chvátal, Graham, Perold, and Whitesides (1979).
Let ~1,22 ..... ~,; n/>2 be any properties of graphs. A vertex (~L, ~2 ..... J~,,)-partition of a graph G is a partition (V1, l~,...,/7,,) of V(G) such that for each i = 1,2 ..... n the induced subgraph G[Vi] has the property ~i. A graph G is said to be uniquely (~1,~2 ..... ~,)-partitionable if G h