## 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
Finding a maximum independent set in a permutation graph
โ Scribed by Haklin Kim
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 374 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An independent set or stable set of a graph G V, E is a subset S of the ลฝ . vertices set V in which no two are adjacent. Let G be the number of vertices in ลฝ . a stable set of maximum cardinality; G is called the stability number of G. Stability numbers of a graph have been well studied, but little
## Abstract Let __m__(__G__) denote the number of maximal independent sets of vertices in a graph __G__ and let __c__(__n__,__r__) be the maximum value of __m__(__G__) over all connected graphs with __n__ vertices and at most __r__ cycles. A theorem of Griggs, Grinstead, and Guichard gives a formul