Matroid Representability
Linear, algebraic, and forbidden minor characterizations.
Matroid Representability. Linear, algebraic, and forbidden minor characterizations.
Foundations and canonical references
The standard treatments of matroid representability approach the subject from complementary angles. Oxley, Matroid Theory (2011) 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 matroid representability 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 · 2011Matroid Theoryoxley-2011
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