We consider the class P n of labeled posets on n elements which avoid certain three-element induced subposets. We show that the number of posets in P n is (n+1) n&1 by exploiting a bijection between P n and the set of regions of the arrangement of hyperplanes in R n of the form x i &x j =0 or 1 for
A Characteristic Property of Labelings and Linear Extensions of Posets of Dimension 2
โ Scribed by Marilena Barnabei; Flavio Bonetti; Roberto Pirastu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 98 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0196-8858
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