S. Cichacz

collaborators

3 papers

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 Krupińska, Mariusz Woźniak

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, Štefko Miklavič

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

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