5 citations · 9 across the 7 of their papers we have counts for
11 papers
On acyclic b-chromatic number of cubic graphs
Marcin Anholcer, Sylwia Cichacz, Iztok Peterin
Let be a graph. An acyclic -coloring of is a map such that for any and the subgraph induced by the vertice…
Magic squares on Abelian groups
Sylwia Cichacz, Dalibor Froncek
Let be an Abelian group of order and MS be an array whose entries are all elements of . Then MS is a -magic square if all row, column,…
Path Eccentricity and Forbidden Induced Subgraphs
Sylwia Cichacz, Claire Hilaire, Tomáš Masařík +2
The path eccentricity of a connected graph is the minimum integer such that has a path such that every vertex is at distance at most from the path. A result of Duff…
-cordial labeling of graphs and its implications for -antimagic labeling of trees
Sylwia Cichacz
If is a finite Abelian group, then a labeling of the edges of some graph induces a vertex labeling on ; the vertex receives the label…
-fault-tolerant graphs for disjoint complete graphs of order
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 -vertex-f…
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 be an Abelian group of order (denoted ), and let and , be positive integers such that…