16 citations · 62 across the 25 of their papers we have counts for
25 papers
Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. VI
Andrey O. Matveev
We briefly discuss linear algebraic, combinatorial, and applied aspects of an exact model representation of binary arrays. As an illustration, we present two linear algebraic portr…
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…
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…
Pattern Recognition on Oriented Matroids: Subtopes and Decompositions of (Sub)topes
Andrey O. Matveev
For a symmetric 2t-cycle in the tope graph of a simple oriented matroid M on the ground set {1,...,t}, where t is even, we describe decompositions of topes and subtopes of M with r…
Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. IV
Andrey O. Matveev
We present statistics on the decompositions (with respect to a distinguished symmetric 2t-cycle) of vertices of the hypercube graph, whose negative parts are covered by two subsets…
Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. III
Andrey O. Matveev
We present statistics on the decompositions (with respect to a distinguished symmetric 2t-cycle) of vertices of the hypercube graph, whose negative parts are regarded as disjoint u…