16 citations · 62 across the 25 of their papers we have counts for
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math.CO2008★ 3 cited
Pattern Recognition on Oriented Matroids: Three-Tope Committees
Andrey O. Matveev
A three-tope committee K* for a simple oriented matroid M is a 3-subset of its maximal covectors such that every positive halfspace of M contains at least two topes from K*. We con…
math.NT2008★ 6 cited
A Note on Boolean Lattices and Farey Sequences II
Andrey O. Matveev
We establish monotone bijections between subsequences of the Farey sequences and the halfsequences of Farey subsequences associated with elements of the Boolean lattices.
math.NT2008★ 7 cited
Neighboring Fractions in Farey Subsequences
Andrey O. Matveev
We present explicit formulas for the computation of the neighbors of several elements of Farey subsequences.