Discussiones Mathematicae Graph Theory (May 2022)

Labeled Packing of Cycles and Circuits

  • Joffard Alice,
  • Kheddouci Hamamache

DOI
https://doi.org/10.7151/dmgt.2290
Journal volume & issue
Vol. 42, no. 2
pp. 443 – 469

Abstract

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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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