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math.CO2026
Explorations of Matroid Complexes
Juliette Bruce, Jacob Bucciarelli, Bailee Zacovic
Motivated by Kontsevich's graph complexes, this paper gives a systematic study of matroid complexes. We construct deletion and contraction bicomplexes on the vector space spanned b…
math.CO2025
Graphical Scattering Equations
Barbara Betti, Viktoriia Borovik, Bella Finkel +2
The CHY scattering equations on the moduli space play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering corresponden…
math.CO2023
Chip-firing and critical groups of signed graphs
Matthew Cho, Anton Dochtermann, Ryota Inagaki +3
We study chip-firing on a signed graph , employing a general theory of chip-firing on invertible matrices introduced by Guzmán and Klivans. Here a negative edge designates an…