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**Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey.**
*(English)*
Zbl 0573.68018

The paper is concerned with polynomial-time algorithms for restricted versions of some NP-hard problems on graphs. It surveys the use of table- based reduction methods for solving combinatorial problems defined on graphs and hypergraphs of bounded dimension and for problems defined on clique separable graphs and complement decomposable graphs. Some examples illustrate the use of the methods described.

Reviewer: J.Błażewicz

### MSC:

68Q25 | Analysis of algorithms and problem complexity |

68R10 | Graph theory (including graph drawing) in computer science |

68-02 | Research exposition (monographs, survey articles) pertaining to computer science |

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