𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Lattice-theoretical Characterization of Oriented Matroids

✍ Scribed by W. Hochstättler


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
311 KB
Volume
18
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Characterization of the Orientations o
✍ Jon Lee; Matt Scobee 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 280 KB

A matroid or oriented matroid is dyadic if it has a rational representation with all nonzero subdeterminants in [ \2 k : k # Z]. Our main theorem is that an oriented matroid is dyadic if and only if the underlying matroid is ternary. A consequence of our theorem is the recent result of G. Whittle th

On Tutt's Characterization of graphic ma
✍ A. M. H. Gerards 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 409 KB

## Abstract In this paper we present a relatively simple proof of Tutt's characterization of graphic matroids. The proof uses the notion of ‘signed graph’ and it is ‘graphic’ in the sense that it can be presented almost entirely by drawing (signed) graphs. © 1995 John Wiley & Sons, Inc.

Lawrence Oriented Matroids and a Problem
✍ J.L. Ramı́rez Alfonsı́n 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 107 KB

Consider the following question introduced by McMullen: Determine the largest integer n = f (d) such that any set of n points in general position in the affine d-space R d can be mapped by a projective transformation onto the vertices of a convex polytope. It is known that 2d + 1 ≤ f (d) < (d + 1)(d

Theoretical Study of Hole-Pair System in
✍ O. Navarro; I.G. Kaplan 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 79 KB

We investigate the statistics of the coupled hole pairs in a crystal lattice in high T c superconductors, following the previously developed approach for the collective charge state (holon). The exact commutation relations for the hole pair operators correspond to a modified parafermi statistics of