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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 is called an open (respectively, closed) XOR-magic grap…
math.CO2025
On rainbow caterpillars in elementary -groups
Sylwia Cichacz, Barbara Krupińska, Mariusz Woźniak
Given a finite Abelian group , consider a tree with vertices. The labeling of the vertices of some graph induces an edge labelin…
math.CO2025★ 1 cited
Group distance magic cubic graphs
Sylwia Cichacz, Štefko Miklavič
A \emph{-distance magic labeling} of a graph with is a bijection from to an Abelian group of order , for which there exists , su…