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Electronic Journal of Combinatorics
Article . 2010 . Peer-reviewed
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Article . 2010
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Article . 2010
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On the h-Vector of a Lattice Path Matroid

On the \(h\)-vector of a lattice path matroid
Authors: Jay Schweig;

On the h-Vector of a Lattice Path Matroid

Abstract

Stanley has conjectured that the h-vector of a matroid complex is a pure M-vector. We prove a strengthening of this conjecture for lattice path matroids by constructing a corresponding family of discrete polymatroids.

Related Organizations
Keywords

M-vector, Combinatorial aspects of simplicial complexes, Combinatorial aspects of matroids and geometric lattices, h-vector, discrete polymatroids, matroid complex, lattice path matroids

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
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