Global Rank Axioms for Poset Matroids
β Scribed by Shu Chao Li; Yan Qin Feng
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 146 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that matroid complexes of rank 3 are extendably shellable. Let (,") be the family of k-element subsets of a finite set E. There is a conjecture of Simon [lo] that (f) is extendably shellable for every k. In this paper we will prove that matroid complexes of rank 3 are extendably shellable.
Suppose that n competitors participate in r races so that each competitor obtains a result consisting of r platings. The set of all possible results can be given a lattice structure. This structure is a partially ordered set with the notion of dimension defined in terms of linear orders which extend