We present a randomized parallel algorithm with polylogarithmic expected running time for finding a maximal independent set in a linear hypergraph.
A simple NC-algorithm for a maximal independent set in a hypergraph of poly-log arboricity
โ Scribed by Oscar Garrido; Pierre Kelsen; Andrzej Lingas
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 356 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is well known [9] that finding a maximal independent set in a graph is in class J%, and [lo] that finding a maximal independent set in a hypergraph with fixed dimension is in %JV"%' . It is not known whether this latter problem remains in A% when the dimension is part of the input. We will study
## Abstract We exhibit an algorithm for finding a maximum independent set (MIS) for __n__ presorted, unweighted circular arcs in time 0(__n__). Unlike previous algorithms, this is achieved by means of trivial postprocessing of the output of a straightforward algorithm for finding an MIS for a set o