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Reversible shellings and an inequality for h-vectors

✍ Scribed by Manoj K. Chari

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
228 KB
Volume
159
Category
Article
ISSN
0012-365X

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✦ Synopsis

Several important simplicial complexes including matroid complexes and broken circuit complexes are known to be shellable. We show that the lexicographic order of the bases of a matroid can be reversed to obtain a shelling. We prove that the h-vectors of such reversibly shellable complexes of rank d, which have an empty boundary must satisfy the inequality ho + hi +... + hi'ha + ha-t + "'" + ha i for i<~ [d/2]. In particular, this gives a necessary condition for the h-vector of matroids without coloops.

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