On the structure of the \(h\)-vector of a paving matroid
From MaRDI portal
Publication:449206
DOI10.1016/j.ejc.2012.04.002zbMath1248.05033arXiv1008.2031OpenAlexW2079780318MaRDI QIDQ449206
Steven D. Noble, Criel Merino, Marcelino Ramírez-Ibáñez, Rafael Villarroel-Flores
Publication date: 12 September 2012
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.2031
Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial aspects of simplicial complexes (05E45)
Related Items (17)
Internally perfect matroids ⋮ The topology of the external activity complex of a matroid ⋮ On the number of matroids ⋮ h-Vectors of Matroid Complexes ⋮ A method to construct all the paving matroids over a finite set ⋮ Generic and special constructions of pure O -sequences ⋮ Pure \(O\)-sequences and matroid \(h\)-vectors ⋮ Biconed graphs, weighted forests, and \(h\)-vectors of matroid complexes ⋮ The unimodality of pure \(O\)-sequences of type three in three variables ⋮ Matroid relaxations and Kazhdan-Lusztig non-degeneracy ⋮ The Tutte polynomial of some matroids ⋮ The \(h\)-vector of a positroid is a pure O-sequence ⋮ On the shape of a pure 𝑂-sequence ⋮ On the reliability roots of simplicial complexes and matroids ⋮ Quasi-matroidal classes of ordered simplicial complexes ⋮ Lexicographic shellability, matroids, and pure order ideals ⋮ The unimodality of pure \(O\)-sequences of type two in four variables
Uses Software
Cites Work
- Pure \(O\)-sequences and matroid \(h\)-vectors
- Some inequalities for the Tutte polynomial
- Two remarks concerning balanced matroids
- Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
- Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices
- Chip-firing and the critical group of a graph
- Shelling polyhedral 3-balls and 4-polytopes
- Chip firing and the Tutte polynomial
- The Tutte polynomial as a growth function
- Combinatorics and commutative algebra.
- Matroid inequalities
- On the asymptotic proportion of connected matroids
- On the \(h\)-vector of a lattice path matroid
- Matroids with nine elements
- On Quadruple Systems
- Shellable and Cohen-Macaulay Partially Ordered Sets
- Roots of the Reliability Polynomials
- Two Decompositions in Topological Combinatorics with Applications to Matroid Complexes
- Shellable nonpure complexes and posets. II
- Shellable Nonpure Complexes and Posets. I
- A Catalogue of Combinatorial Geometries
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the structure of the \(h\)-vector of a paving matroid