On the structure of the h-vector of a paving matroid

Merino, C. and Noble, Steven and Ramírez-Ibáñez, M. and Villarroel-Flores, R. (2012) On the structure of the h-vector of a paving matroid. European Journal of Combinatorics 33 (8), pp. 1787-1799. ISSN 0195-6698.

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Official URL: https://doi.org/10.1016/j.ejc.2012.04.002

Abstract

We give two proofs that the -vector of any paving matroid is a pure -sequence, thus answering in the affirmative a conjecture made by Stanley, for this particular class of matroids. We also investigate the problem of obtaining good lower bounds for the number of bases of a paving matroid given its rank and number of elements.

Metadata

Item Type:	Article
School:	Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Depositing User:	Administrator
Date Deposited:	06 Jan 2023 14:15
Last Modified:	09 Aug 2023 12:54
URI:	https://eprints.bbk.ac.uk/id/eprint/50371

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