Oriented Matroids
Combinatorial abstractions of vector configurations and pseudoline arrangements.
Oriented Matroids. Combinatorial abstractions of vector configurations and pseudoline arrangements.
Foundations and canonical references
The standard treatments of oriented matroids approach the subject from complementary angles. Bjorner, Oriented Matroids (1999) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for oriented matroids include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1999Oriented Matroidsbjorner-1999, lasvergnas-1999, sturmfels-1999, white-1999, ziegler-1999
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