Sylwia Cichacz-Przenioslo

activity

20122025

most citedA magic rectangle set on Abelian groups

11 citations · 26 across the 12 of their papers we have counts for

collaborators

12 papers

math.CO2025

On acyclic b-chromatic number of cubic graphs

Marcin Anholcer, Sylwia Cichacz, Iztok Peterin

Let $G$ be a graph. An acyclic $k$ -coloring of $G$ is a map $c : V (G) \to {1, \dots, k}$ such that $c (u) \neq = c (v)$ for any $uv \in E (G)$ and the subgraph induced by the vertice…

math.CO2025

Magic squares on Abelian groups

Sylwia Cichacz, Dalibor Froncek

Let $(Γ, +)$ be an Abelian group of order $n^{2}$ and MS $_{Γ} (n)$ be an $n \times n$ array whose entries are all elements of $Γ$ . Then MS $_{Γ} (n)$ is a $Γ$ -magic square if all row, column,…

math.CO2025

Path Eccentricity and Forbidden Induced Subgraphs

Sylwia Cichacz, Claire Hilaire, Tomáš Masařík +2

The path eccentricity of a connected graph $G$ is the minimum integer $k$ such that $G$ has a path such that every vertex is at distance at most $k$ from the path. A result of Duff…

math.CO2024★ 1 cited

$E_{A}$ -cordial labeling of graphs and its implications for $A$ -antimagic labeling of trees

Sylwia Cichacz

If $A$ is a finite Abelian group, then a labeling $f : E (G) \to A$ of the edges of some graph $G$ induces a vertex labeling on $G$ ; the vertex $u$ receives the label…

math.CO2022

$k$ -fault-tolerant graphs for $p$ disjoint complete graphs of order $c$

Sylwia Cichacz, Agnieszka Görlich, Karol Suchan

Vertex-fault-tolerance was introduced by Hayes~\cite{Hayes1976} in 1976, and since then it has been systematically studied in different aspects. In this paper we study $k$ -vertex-f…

math.CO2022★ 3 cited

Zero-sum partitions of Abelian groups and their applications to magic- and antimagic-type labelings

Sylwia Cichacz, Karol Suchan

The following problem has been known since the 80s. Let $Γ$ be an Abelian group of order $m$ (denoted $∣Γ∣ = m$ ), and let $t$ and ${m_{i}}_{i = 1}^{t}$ , be positive integers such that…

math.CO2021★ 5 cited

Zero-sum partitions of Abelian groups of order $2^{n}$

Sylwia Cichacz, Karol Suchan

The following problem has been known since the 80's. Let $Γ$ be an Abelian group of order $m$ (denoted $∣Γ∣ = m$ ), and let $t$ and $m_{i}$ , $1 \leq i \leq t$ , be positive integers such…

math.CO2019★ 2 cited

Minimum k-critical bipartite graphs

Sylwia Cichacz, Karol Suchan

We study the problem of Minimum $k$ -Critical Bipartite Graph of order $(n, m)$ - M $k$ CBG- $(n, m)$ : to find a bipartite $G = (U, V; E)$ , with $∣ U ∣ = n$ , $∣ V ∣ = m$ , and $n > m > 1$ , which is $k$ -c…

math.CO2018

Note on the group edge irregularity strength of graphs

Marcin Anholcer, Sylwia Cichacz

We investigate the \textit{edge group irregularity strength} ( $e s_{g} (G)$ ) of graphs, i.e. the smallest value of $s$ such that taking any Abelian group $G$ of order $s$ , th…

math.CO2018★ 4 cited

Linear bounds on nowhere-zero group irregularity strength and nowhere-zero group sum chromatic number of graphs

Marcin Anholcer, Sylwia Cichacz, Jakub Przybyło

We investigate the \textit{group irregularity strength}, $s_{g} (G)$ , of a graph, i.e. the least integer $k$ such that taking any Abelian group $G$ of order $k$ , there exist…

math.NT2018★ 11 cited

A magic rectangle set on Abelian groups

Sylwia Cichacz, Tomasz Hinc

A $Γ$ -magic rectangle set $M R S_{Γ} (a, b; c)$ of order $ab c$ is a collection of $c$ arrays $(a \times b)$ whose entries are elements of group $Γ$ , each appearing once, with all row sum…

math.CO2012

Group Irregular Labelings of Disconnected Graphs

Marcin Anholcer, Sylwia Cichacz

We investigate the \textit{group irregularity strength} ( $s_{g} (G)$ ) of graphs, i.e. the smallest value of $s$ such that taking any Abelian group $\gr$ of order $s$ , there exists a f…

On acyclic b-chromatic number of cubic graphs

Magic squares on Abelian groups

Path Eccentricity and Forbidden Induced Subgraphs

EA​-cordial labeling of graphs and its implications for A-antimagic labeling of trees

k-fault-tolerant graphs for p disjoint complete graphs of order c

Zero-sum partitions of Abelian groups and their applications to magic- and antimagic-type labelings

Zero-sum partitions of Abelian groups of order 2n

Minimum k-critical bipartite graphs

Note on the group edge irregularity strength of graphs

Linear bounds on nowhere-zero group irregularity strength and nowhere-zero group sum chromatic number of graphs

A magic rectangle set on Abelian groups

Group Irregular Labelings of Disconnected Graphs

$E_{A}$ -cordial labeling of graphs and its implications for $A$ -antimagic labeling of trees

$k$ -fault-tolerant graphs for $p$ disjoint complete graphs of order $c$

Zero-sum partitions of Abelian groups of order $2^{n}$