V. Potapov

activity

20072024

q

-ary Steiner and other-type trades

29 citations · 139 across the 27 of their papers we have counts for

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2 papers · 1 filter

math.CO2022

An upper bound on the number of frequency hypercubes

Denis S. Krotov, Vladimir N. Potapov

A frequency $n$ -cube $F^{n} (q; l_{0}, ..., l_{m - 1})$ is an $n$ -dimensional $q$ -by-...-by- $q$ array, where $q = l_{0} + ... + l_{m - 1}$ , filled by numbers $0, ..., m - 1$ with the property that each…

math.CO2022

On extremal properties of perfect 2-colorings

Vladimir N. Potapov

A coloring of vertices of a graph is called perfect if, for every vertex, the collection of colors of its neighbors depends only on its own color. The correspondent color partition…