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math.CO2021
The Increasing Families of Sets Generated by Self-dual Clutters
Andrey O. Matveev
Using the KKS inequalities, we establish bounds on the numbers of -sets in the increasing families generated by self-dual clutters (i.e., clutters that coincide wi…
math.CO2021
Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. V
Andrey O. Matveev
We consider decompositions of topes of the oriented matroid realizable as the arrangement of coordinate hyperplanes in , with respect to a distinguished symmetric…