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math.CO2025
The column number for 3-modular matrices
Joseph Paat, Zach Walsh, Luze Xu
An integer-valued matrix is -modular if each submatrix has determinant at most in absolute value. The c…
math.CO2024
Characterizing unimodular laminar hypergraphs via forbidden subhypergraphs
Marco Caoduro, Meike Neuwohner, Joseph Paat
The incidence matrix of a graph is totally unimodular if and only if the graph is bipartite, i.e., it contains no odd cycles. We extend the characterization of total unimodularity…