Symplectic Spaces And Ear-Decomposition Of Matroids
✍ Scribed by Balázs Szegedy; Christian Szegedy
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 319 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We associate to a simple matroid (resp. a geometric lattice) \(M\) and a number \(d\) dividing the rank of \(M\) a partially ordered set \(\mathscr{L}_{d}(M)\) whose upper intervals are (set-) partition lattices. Indeed, for some important cases they are exponential structures in the sense of Stanle
Let V be a linear space of even dimension n over a field F of characteristic 0. A subspace W ⊂ ∧ 2 V is maximal singular if rank(w) ≤ n -1 for all w ∈ W and any W W ⊂ ∧ 2 V contains a nonsingular matrix. It is shown that if W ⊂ ∧ 2 V is a maximal singular subspace which is generated by decomposable