Matroid Optimization
Greedy algorithms, matroid intersection, and submodular optimization.
Matroid Optimization. Greedy algorithms, matroid intersection, and submodular optimization.
Foundations and canonical references
The standard treatments of matroid optimization 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 optimization 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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