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math.CO2019
Tutte Polynomial Activities
Spencer Backman
Unlike Whitney's definition of the corank-nullity generating function , Tutte's definition of his now eponymous polynomial requires a total order on the ed…
math.CO2019★ 9 cited
Simplicial generation of Chow rings of matroids
Spencer Backman, Christopher Eur, Connor Simpson
We introduce a presentation of the Chow ring of a matroid by a new set of generators, called "simplicial generators." These generators are analogous to nef divisors on projective t…
math.CO2019
Extension-lifting Bijections for Oriented Matroids
Spencer Backman, Francisco Santos, Chi Ho Yuen
Extending the notion of geometric bijections for regular matroids, introduced by the first and third author with Matthew Baker, we describe a family of bijections between bases of…