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Lower bounds for independence numbers of some locally sparse graphs

โœ Scribed by Li, Yusheng; Lin, Qizhong


Book ID
120694233
Publisher
Springer US
Year
2012
Tongue
English
Weight
166 KB
Volume
28
Category
Article
ISSN
1382-6905

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Independence numbers of locally sparse g
โœ Noga Alon ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 409 KB ๐Ÿ‘ 1 views

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