109 citations · 514 across the 38 of their papers we have counts for
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math.CO2017
Matroids over partial hyperstructures
Matthew Baker, Nathan Bowler
We present an algebraic framework which simultaneously generalizes the notion of linear subspaces, matroids, valuated matroids, oriented matroids, and regular matroids. To do this,…
math.CO2017
Hodge theory in combinatorics
Matthew Baker
George Birkhoff proved in 1912 that the number of proper colorings of a finite graph G with n colors is a polynomial in n, called the chromatic polynomial of G. Read conjectured in…
math.CO2017★ 15 cited
Geometric Bijections for Regular Matroids, Zonotopes, and Ehrhart Theory
Spencer Backman, Matthew Baker, Chi Ho Yuen
Let be a regular matroid. The Jacobian group of is a finite abelian group whose cardinality is equal to the number of bases of . This group generalizes th…