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math.CO2025
White's Conjecture for Paving Matroids
Yu-Chuan Yu, Chi Ho Yuen
White's conjecture asserts that any two tuples of matroid bases that have the same multi-set union can be transformed from one to another by symmetric exchanges; it also implies th…
math.CV2025
Period matrices and homological quasi-trees on discrete Riemann surfaces
Wai Yeung Lam, On-Hei Solomon Lo, Chi Ho Yuen
We study discrete period matrices associated with graphs cellularly embedded on closed surfaces, resembling classical period matrices of Riemann surfaces. Defined via integrals of…
math.CO2025
Filtrations of Tope Spaces of Oriented Matroids
Kris Shaw, Chi Ho Yuen
We compare three filtrations of the tope space of an oriented matroid. The first is the dual Varchenko-Gelfand degree filtration, the second filtration is from Kalinin's spectral s…