Synopses & Reviews
Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The combination of concrete applications and computation, the profusion of illustrations, many in color, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.
About the Author
Juergen Bokowski is a Professor of Mathematics at Darmstadt University of Technology
Table of Contents
1. Geometric matrix models i; 2. Geometric matrix models ii; 3. From matrices to rank 3 oriented matroids; 4. Oriented matroids of arbitrary rank; 5. From oriented matroids to face lattices; 6. From face lattices to oriented matroids i; 7. From face lattices to oriented matroids ii; 8. From oriented matroids to matrices; 9. Computational synthetic geometry; 10. Some oriented matroid applications; 11. Some inttrinsic oriented matroid problems; Bibliography; Index.