## dedicated to the memory of rodica simion Let G be an r-uniform hypergraph. The multicolor Ramsey number r k G is the minimum n such that every k-coloring of the edges of the complete r-uniform hypergraph K r n yields a monochromatic copy of G. Improving slightly upon results from M. Axenovich,
New Lower Bounds for the Independence Number of Sparse Graphs and Hypergraphs
โ Scribed by Dutta, Kunal; Mubayi, Dhruv; Subramanian, C. R.
- Book ID
- 118197175
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2012
- Tongue
- English
- Weight
- 212 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present a lower bound on the independence number of arbitrary hypergraphs in terms of the degree vectors. The degree vector of a vertex v is given by d is the number of edges of size m containing v. We define a function f with the property that any hypergraph H = (V, E) satisfies ฮฑ(H) โฅ vโV f (d
A new lower bound on the independence number of a graph is established and an accompanying efficient algorithm constructing an independent vertex set the cardinality of which is at least this lower bound is given. (~
Caro (1979) and Wei (1981) established a bound on the size of an independent set of a graph as a function of its degrees. In case the degrees of each vertex's neighbors are also known, we establish a lower bound which is tighter for most graphs.