V. Potapov

activity

20072024

q

-ary Steiner and other-type trades

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

collaborators

Showing 2011Show all

3 papers · 1 filter

math.CO2011★ 1 cited

Multidimensional Latin Bitrade

Vladimir N. Potapov

A subset $S$ of $k$ -ary $n$ -dimensional hypercube is called latin bitrade if $∣ S \cap F ∣ \in {0, 2}$ for each 1-face $F$ . We find all admissible small (less than $2^{n + 1}$ ) cardinal…

math.CO2011

On completion of latin hypercuboids of order 4

Vladimir N. Potapov

A latin hypercuboid of order $N$ is an $N \times ... \times N \times k$ array filled with symbols from the set ${0, ..., N - 1}$ in such a way that every symbol occurs at most once in e…

math.CO2011

On the connection between correlation-immune functions and perfect 2-colorings of the Boolean n-cube

Vladimir N. Potapov

A coloring of the Boolean $n$ -cube is called perfect if, for every vertex $x$ , the collection of the colors of the neighbors of $x$ depends only on the color of $x$ . A Boolean func…