We approximate the number of linear extensions of an ordered set by counting "critical" suborders.
On computing the number of linear extensions of a tree
โ Scribed by M. D. Atkinson
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 147 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0167-8094
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๐ SIMILAR VOLUMES
We find asymptotic upper and lower bounds on the number of linear extensions of the containment ordering of subsets of a finite set. These agree in their most significant non-trivial terms. A related open question is described. L > 2"((n + 1)log 2 -4 log 2m -5 + o(1 ln)).
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