The performance of the greedy coloring algorithm ''first fit'' on sparse random graphs G and on random trees is investigated. In each case, approximately n, c r n log log n colors are used, the exact number being concentrated almost surely on at 2 most two consecutive integers for a sparse random gr
Maximum Weight Partial Colorings on Sparse Random Graphs
β Scribed by Jaslar, Steven; Tatikonda, Sekhar
- Book ID
- 118197075
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 257 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the average performance of a simple greedy algorithm for finding a matching in a sparse random graph G , where c ) 0 is constant. The algorithm was first n, c r n w proposed by Karp and Sipser Proceedings of the Twenty-Second Annual IEEE Symposium on x Foundations of Computing, 1981, pp. 3
Let k be a fixed positive integer. A graph H has property Mk if it contains [Β½k] edge disjoint hamilton cycles plus a further edge disjoint matching which leaves at most one vertex isolated, if k is odd. Let p = c/n, where c is a large enough constant. We show that G,,p a.s. contains a vertex induce