On lexicographically shellable posets-Reference-Cited by-同舟云学术

On lexicographically shellable posets

Published:1983 Issue:1 Volume:277 Page:323-341
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Björner Anders,Wachs Michelle

Abstract

Lexicographically shellable partially ordered sets are studied. A new recursive formulation of CL {\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 CL {\text {CL}} -shellable. Finally, it is shown that several common operations on graded posets preserve shellability and CL {\text {CL}} -shellability.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1983-277-01/S0002-9947-1983-0690055-6/S0002-9947-1983-0690055-6.pdf

Reference10 articles.

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3. Shellable decompositions of cells and spheres;Bruggesser, H.;Math. Scand.,1971

4. On permutation geometries;Cameron, P. J.;J. London Math. Soc. (2),1979

5. Shellings of spheres and polytopes;Danaraj, Gopal;Duke Math. J.,1974

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