On lexicographically shellable posets
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- by Anders Björner and Michelle Wachs PDF
- Trans. Amer. Math. Soc. 277 (1983), 323-341 Request permission
Abstract:
Lexicographically shellable partially ordered sets are studied. A new recursive formulation of ${\text {CL}}$-shellability is introduced and exploited. It is shown that face lattices of convex polytopes, totally semimodular posets, posets of injective and normal words and lattices of bilinear forms are ${\text {CL}}$-shellable. Finally, it is shown that several common operations on graded posets preserve shellability and ${\text {CL}}$-shellability.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 277 (1983), 323-341
- MSC: Primary 06A10; Secondary 05A99, 52A25, 57Q05
- DOI: https://doi.org/10.1090/S0002-9947-1983-0690055-6
- MathSciNet review: 690055