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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

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✦ 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


Aspects of semiorders within interval or
✍ Peter C. Fishburn 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 791 KB

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.