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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

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📜 SIMILAR VOLUMES


Direct Sum Decompositions of Matroids an
✍ V. Welker 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 961 KB

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

Spaces of Singular Matrices and Matroid
✍ Boaz Gelbord; Roy Meshulam 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 99 KB

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