Optimizing Linear Extensions
@article{Tenner2009OptimizingLE, title={Optimizing Linear Extensions}, author={Bridget Eileen Tenner}, journal={SIAM J. Discret. Math.}, year={2009}, volume={23}, pages={1450-1454} }
The minimum number of elements needed for a poset to have exactly $n$ linear extensions is at most $2\sqrt{n}$. In a special case, the bound can be improved to $\sqrt{n}$.
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References
SHOWING 1-7 OF 7 REFERENCES
Obtainable sizes of topologies on finite sets
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 2010
- 8
- PDF
The On-Line Encyclopedia of Integer Sequences
- Mathematics, Computer Science
- Electron. J. Comb.
- 1994
- 4,918
- PDF
Cambridge Studies in Advanced Mathematics
- Cambridge Studies in Advanced Mathematics
- 1997
Obtainable sizes of finite topologies
- Obtainable sizes of finite topologies