𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Tropical hyperplane arrangements and oriented matroids

✍ Scribed by Federico Ardila; Mike Develin

Book ID
105875338
Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
521 KB
Volume
262
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Oriented Matroids and Hyperplane Transve
Oriented Matroids and Hyperplane Transversals
✍ Laura Anderson; Rephael Wenger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 401 KB

We prove that a finite family A of compact connected sets in R d has a hyperplane transversal if and only if for some k, 0<k<d, there exists an acyclic oriented matroid of rank k+1 on A such that every k+2 sets in A have an oriented k-transversal which meets the sets consistently with that oriented

Simplicial cells in arrangements and mut
Simplicial cells in arrangements and mutations of oriented matroids
✍ Jean-Pierre Roudneff; Bernd Sturmfels πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 957 KB

We investigate the combinatorial and topological properties of simplicial cells in arrangements of (pseudo)hyperplanes, using their interpretations in terms of oriented matroids. Simplicial cells have various applications in computational geometry due to the fact that for an arrangement in general p