S. Cichacz

activity

20242026

collaborators

7 papers

math.CO2026

Note on a magic rectangle set on dihedral group

Sylwia Cichacz

Let $I^$ be a group of order $mnk$ and $M R S_{I^} (m, n; k) = (a_{i, j}^{s})_{m \times n}$ be a collection of $k$ arrays $m \times n$ whose entries are all distinct elements of $I^$ . If there e…

math.CO2026

Note on zero-sum magic squares on Abelian groups

Sylwia Cichacz, Dalibor Froncek

Let $(I^, +)$ be an Abelian group of order $n^{2}$ . A $I^$ -magic square of order $n$ is an $n \times n$ array whose entries are pairwise distinct elements of $I^$ such that all row sum…

math.CO2026

Semi-magic dihedral squares

Sylwia Cichacz, Dalibor Froncek

Let $I^$ be a group of order $n^{2}$ and $S M S_{I^} (n) = (a_{i, j})_{n \times n}$ be an $n \times n$ array whose entries are all distinct elements of $I^$ . If there exists an element $Î¼\inÎ…

math.CO2025

Open XOR-magic odd graphs and closed XOR-magic even graphs

Sylwia Cichacz, Hubert Grochowski, Rita Zuazua

XOR-magic graph labelings form a special subclass of group distance magic labelings. A simple connected graph of order $2^{n}$ is called an open (respectively, closed) XOR-magic grap…

math.CO2025

On rainbow caterpillars in elementary $p$ -groups

Sylwia Cichacz, Barbara KrupiÅska, Mariusz WoÅºniak

Given a finite Abelian group $(A, +)$ , consider a tree $T$ with $∣ A ∣$ vertices. The labeling $f : V (T) \to A$ of the vertices of some graph $G$ induces an edge labelin…

math.CO2025

Group distance magic cubic graphs

Sylwia Cichacz, Å tefko MiklaviÄ

A $I^$ \emph{-distance magic labeling} of a graph $G = (V, E)$ with $∣ V ∣ = n$ is a bijection $ℓ$ from $V$ to an Abelian group $I^$ of order $n$ , for which there exists $I^¼ \in I^$ …

Note on a magic rectangle set on dihedral group

Note on zero-sum magic squares on Abelian groups

Semi-magic dihedral squares

Open XOR-magic odd graphs and closed XOR-magic even graphs

On rainbow caterpillars in elementary p-groups

Group distance magic cubic graphs

On rainbow caterpillars in elementary $p$ -groups