König–Egerváry Graphs are Non-Edmonds
✍ Scribed by P. Mark Kayll
- Publisher
- Springer Japan
- Year
- 2010
- Tongue
- English
- Weight
- 121 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0911-0119
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📜 SIMILAR VOLUMES
The Krnig-Egervkry theorem, which asserts that the maximum size of a partial matching in a relation equals the minimum size of a separating set, is proved using Jacobrs identity relating complementary minors in a matrix and its adjugate.
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We prove that for any c 1 >0 there exists c 2 >0 such that the following statement is true: If G is a graph with n vertices and with the property that neither G nor its complement contains a complete graph K l , where l=c 1 log n then G is c 2 log n-universal, i.e., G contains all subgraphs with c 2