The dimension of semiorders
โ Scribed by I Rabinovitch
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 633 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A digraph is an interval digraph if each vertex can be assigned a source interval and a sink interval on the real line such that there is an edge from u to u if and only if the source interval for u intersects the sink interval for u . A digraph is an indifference digraph or unit interval digraph if
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 Aka
Semiorders may form the simplest class of partially ordered sets that accommodate thresholds of discriminability in binary comparisons. Many other classes of ordered sets that generalize the uniform-threshold feature of semiorders have been studied in recent years. This note describes a variety of g
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.