On the complexity of interval orders and semiorders
✍ Scribed by U. Faigle; Gy. Turán
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 607 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
The recognition complexity of interval orders is shown to be Q(n log, n), and an optimal algorithm is given for the identification of semiorders. * Supported by the joint research project "Algorithmic Aspects of Combinatorial Optimization" of the Hungarian Academy of Sciences (Magyar Tudomanyos Akademia) and the German Research Association (Deutsche Forschungsgemeinschaft) and SFB 303 (DFG).
📜 SIMILAR VOLUMES
Let sk(n) be the largest integer such that every n-point interval order with NO antichain of more than k points includes an Sk(n)-point 'semiorder. When k = 1, s,(n) = n since all interval ordexs with no two-point antichains are ch:&s.