Farrell polynomials on graphs of bounded tree width
✍ Scribed by J.A. Makowsky; J.P. Mariño
- Book ID
- 108421663
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 149 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0196-8858
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📜 SIMILAR VOLUMES
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate parametric search on planar graphs.
We present an efficient parallel algorithm for the tree-decomposition problem Ž 3 . Ž. for fixed width w. The algorithm runs in time O O log n and uses O O n processors on an ARBITRARY CRCW PRAM. The sequential complexity of our tree-decom-Ž 2 . position algorithm is O O n log n . The tree-decomposi
It is shown that for any positive integers k and w there exists a constant N ¼ N ðk; wÞ such that every 7-connected graph of tree-width less than w and of order at least N contains K 3;k as a minor. Similar result is proved for K a;k minors where a is an arbitrary fixed integer and the required conn