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math.CO2023
A note on uniquely embeddable 2-factors
Igor Grzelec, Monika Pilśniak, Mariusz Woźniak
Let be a 2-factor i.e. a vertex-disjoint union of cycles. In this note we completely characterize those 2-factors that are uniquely em…
math.CO2022
On decomposing multigraphs into locally irregular submultigraphs
Igor Grzelec, Mariusz Woźniak
A locally irregular multigraph is a multigraph whose adjacent vertices have distinct degrees. The locally irregular edge coloring is an edge coloring of a multigraph such that…