Name
Abstract | ||
|---|---|---|
In 1978, Dhar suggested a model of a lattice gas whose states are partial orders. In this context he raised the question of determining the number of partial orders with a fixed number of comparable pairs. Dhar conjectured that in order to find a good approximation to this number, it should suffice to enumerate families of layer posets. In this paper we prove this conjecture and thereby prepare the ground for a complete answer to the question. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1017/S0963548301004503 | Combinatorics, Probability & Computing |
Keywords | Field | DocType |
lattice gas,complete answer,comparable pairs,comparable pair,partial orders,fixed number,partial order,layer posets,good approximation | Discrete mathematics,Combinatorics,Lattice (order),Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
10 | 2 | 0963-5483 |
Citations | PageRank | References |
3 | 2.83 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hans Jürgen Prömel | 1 | 431 | 95.11 |
| Angelika Steger | 2 | 995 | 111.50 |
| Anusch Taraz | 3 | 168 | 37.71 |