## Abstract For any graph __G__, let __i__(__G__) and ฮผ;(__G__) denote the smallest number of vertices in a maximal independent set and maximal clique, respectively. For positive integers __m__ and __n__, the lower Ramsey number __s__(__m, n__) is the largest integer __p__ so that every graph of or
A Lower Bound on Unknotting Number*
โ Scribed by Jiming Ma; Ruifeng Qiu
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2006
- Tongue
- English
- Weight
- 141 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1860-6261
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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. (~
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
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.