We propose an O n algorithm to build the modular decomposition tree of hypergraphs of dimension three and show how this algorithm can be generalized to time the decomposition of hypergraphs of any fixed dimension k.
Efficient and Practical Algorithms for Sequential Modular Decomposition
โ Scribed by Elias Dahlhaus; Jens Gustedt; Ross M McConnell
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 214 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0196-6774
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โฆ Synopsis
A module of an undirected graph G = V E is a set X of vertices that have the same set of neighbors in V \X. The modular decomposition is a unique decomposition of the vertices into nested modules. We give a practical algorithm with an O n + mฮฑ m n time bound and a variant with a linear time bound.
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