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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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📜 SIMILAR VOLUMES


Recursive generation of partitionable gr
✍ E. Boros; V. Gurvich; S. Hougardy 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 201 KB

## 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).

On uniquely partitionable planar graphs
✍ Peter Mihók; Jozef Bucko; Margit Voigt 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 444 KB

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