Andrzej P. Kisielewicz

activity

20232025

collaborators

4 papers

math.CO2025

Neighborly boxes and strings with jokers; constructions and asymptotics

Jarosław Grytczuk, Andrzej P. Kisielewicz, Krzysztof Przesławski

We study families of axis-aligned boxes in a $d$ -dimensional Euclidean space $R^{d}$ whose placement is restricted by bounds on the dimension of their pairwise intersections…

math.CO2024

Neighborly boxes and bipartite coverings; constructions and conjectures

Jarosław Grytczuk, Andrzej P. Kisielewicz, Krzysztof Przesławski

Two axis-aligned boxes in $R^{d}$ are \emph{ $k$ -neighborly} if their intersection has dimension at least $d - k$ and at most $d - 1$ . The maximum number of pairwise $k$ -neighbor…

math.CO2024

A note on a flip-connected class of generalized domino tilings of the box $[0, 2]^{n}$

Andrzej P. Kisielewicz

Let $n, d \in N$ and $n > d$ . An $(n - d)$ -domino is a box $I_{1} \times \dots \times I_{n}$ such that $I_{j} \in {[0, 1], [1, 2]}$ for all $j \in N \subset [n]$ with $∣ N ∣ = d$ and $I_i=[0,…

math.CO2023

On the number of neighborly simplices in R^d

Andrzej P. Kisielewicz

Two $d$ -dimensional simplices in $R^{d}$ are neighborly if its intersection is a $(d - 1)$ -dimensional set. A family of $d$ -dimensional simplices in $R^{d}$ is called neighborly if every…

Neighborly boxes and strings with jokers; constructions and asymptotics

Neighborly boxes and bipartite coverings; constructions and conjectures

A note on a flip-connected class of generalized domino tilings of the box [0,2]n

On the number of neighborly simplices in R^d

A note on a flip-connected class of generalized domino tilings of the box $[0, 2]^{n}$