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math.CO2023★ 1 cited
Foundations of matroids -- Part 2: Further theory, examples, and computational methods
Matthew Baker, Oliver Lorscheid, Tianyi Zhang
In this sequel to "Foundations of matroids - Part 1", we establish several presentations of the foundation of a matroid in terms of small building blocks. For example, we show that…
math.CO2023
On a theorem of Lafforgue
Matthew Baker, Oliver Lorscheid
We give a new proof, along with some generalizations, of a folklore theorem (attributed to Laurent Lafforgue) that a rigid matroid (i.e., a matroid with indecomposable basis polyto…