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http://bura.brunel.ac.uk/handle/2438/10608
Title: | On the structure of the h-vector of a paving matroid. |
Authors: | Merino, C Noble, SD Ramirez-Ibanez, M Villarroel-Flores, R |
Keywords: | H-vector;Paving matroid;0-sequence |
Issue Date: | 2012 |
Publisher: | Elsevier |
Citation: | European Journal of Combinatorics, 33(8): 1787 - 1799, (November 2012) |
Abstract: | We give two proofs that the h-vector of any paving matroid is a pure 0-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. |
URI: | http://www.sciencedirect.com/science/article/pii/S0195669812000753 http://bura.brunel.ac.uk/handle/2438/10608 |
DOI: | http://dx.doi.org/10.1016/j.ejc.2012.04.002 |
ISSN: | 0195-6698 |
Appears in Collections: | Dept of Mathematics Research Papers |
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