𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Matroids on Partially Ordered Sets

✍ Scribed by Marilena Barnabei; Giorgio Nicoletti; Luigi Pezzoli

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
346 KB
Volume
21
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

✦ Synopsis

L

dimension may be chosen within each of the subspaces L in the set S that are ''in general position.'' For example, in the real projective space of dimension 3, consider a plane , a line r not belonging to , the point P [ r l , and two distinct points Q, R both different from P, lying on the line r. The Γ„ 4 partially ordered set ‫ސ‬ associated with the family , r, P, Q, R is the Ε½ . disjoint union of five chains see Fig. 1.1 . The bases of the poset matroid Γ„ 4 associated with , r, P, Q, R are the following: Γ„ 4 Γ„ 4 Γ„ 4 Γ„ 4 Γ„ 4

πŸ“œ SIMILAR VOLUMES

Flag Vectors of Eulerian Partially Order
Flag Vectors of Eulerian Partially Ordered Sets
✍ Margaret M. Bayer; GΓ‘bor Hetyei πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 244 KB

The closed cone of flag vectors of Eulerian partially ordered sets is studied. A new family of linear inequalities valid for Eulerian flag vectors is given. Half-Eulerian posets are defined. Certain limit posets of Billera and Hetyei are half-Eulerian; they give rise to extreme rays of the cone for

Cohen–Macaulay Partially Ordered Sets wi
Cohen–Macaulay Partially Ordered Sets with Pure Resolutions
✍ Winfried Bruns; Takayuki Hibi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 155 KB

We give a combinatorial classification of Cohen-Macaulay partially ordered sets P for which a minimal free resolution of the Stanley-Reisner ring k[ (P)] of the order complex (P) of P is pure.