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math.CO2026
Log-concavity and Approximate Counting for Totally Unimodular Polytopes
Jonathan Leake, Maryam Mohammadi Yekta
We present a new lower bound on the number of lattice points of all totally unimodular polytopes, generalizing previous lower bounds on contingency tables, integer flows, and beyon…
math.CO2026
New Bounds for Integer Flows and Verma Modules, via Denormalized Lorentzian Laurent Series
Jonathan Leake, Maryam Mohammadi Yekta
The theory of log concave polynomials has recently been developed to study objects and problems in combinatorics and other subfields in mathematics. Particular classes of log conca…