Let G = (V, E ) be a graph on n vertices with average degree t 2 1 in which for every vertex u E V the induced subgraph on the set of all neighbors of u is r-colorable. We show that the independence number of G is at least log t , for some absolute positive constant c. This strengthens a well-known
The Independence Number of Graphs with a Forbidden Cycle and Ramsey Numbers
β Scribed by Yusheng Li; Wenan Zang
- Book ID
- 111592073
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 110 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1382-6905
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