Discussiones Mathematicae Graph Theory (May 2022)
Labeled Packing of Cycles and Circuits
Abstract
In 2013, Duchçne, Kheddouci, Nowakowski and Tahraoui introduced a labeled version of the graph packing problem. It led to the introduction of a new graph parameter, the k-packing label-span λk. This parameter corresponds, given a graph H on n vertices, to the maximum number of labels we can assign to the vertices of the graph, such that there exists a packing of k copies of H into the complete graph Kn, coherent with the labels of the vertices.
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