Geodesic
On the \(h\)-vector of a lattice path matroid
The electronic journal of combinatorics, Tome 17 (2010)

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Zbl
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.
DOI : 10.37236/452
Classification : 05B35, 05E45
Mots-clés : matroid complex, lattice path matroids, h-vector, M-vector, discrete polymatroids 
Jay Schweig. On the \(h\)-vector of a lattice path matroid. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/452
@article{10_37236_452,
     author = {Jay Schweig},
     title = {On the \(h\)-vector of a lattice path matroid},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/452},
     zbl = {1267.05057},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/452/}
}
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