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Sur un theoreme de separation des matroïdes orientes de rang trois

✍ Scribed by Raul Cordovil

Book ID
103057641
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
612 KB
Volume
40
Category
Article
ISSN
0012-365X

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✦ Synopsis

We prove a separation theorem for oriented matrclids of rank 3. We give shoi-t combinatorial proofs of Carath&dory's theorem for arrangements of pseudohyperplanes anti Kirchherger's theorem for arrangements of pseudolines.

📜 SIMILAR VOLUMES

Separation par une droite dans les matro
Separation par une droite dans les matroïdes orientes de rang 3
✍ Raul Cordovil; Pierre Duchet 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 113 KB

A short proof is given of the matroidal version of the following fact: In the plane, for two disjoint convex polygons P and Q, there is a facet of P or of Q which separates them. \* Recherche subventionn6e par ITN.I.C. (Portugal) et le C.N.R.S. (France).