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05/05/2023
On Optimization and Counting of Non-Broken Bases of Matroids
Given a matroid M=(E, I), and a total ordering over the elements E, a br...
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03/07/2023
Complete Log Concavity of Coverage-Like Functions
We introduce an expressive subclass of non-negative almost submodular se...
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08/09/2022
An Improved Trickle-Down Theorem for Partite Complexes
Given a d+1-partite d-dimensional simplicial complex, we prove a general...
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11/24/2021
Matroid Partition Property and the Secretary Problem
A matroid ℳ on a set E of elements has the α-partition property, for som...
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06/07/2021