## Abstract Consider a family of chords in a circle. A circle graph is obtained by representing each chord by a vertex, two vertices being connected by an edge when the corresponding chords intersect. In this paper, we describe efficient algorithms for finding a maximum clique and a maximum indepen
A parallel algorithm for finding a maximum clique of a set of circular arcs of a circle
โ Scribed by Sung Kwon Kim
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 614 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-0190
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๐ SIMILAR VOLUMES
## 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
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