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math.COFeb 14, 2021
5
citations (OpenAlex)
authors
  • Michał Lasoń
  • Małgorzata Sulkowska
institutions
  • AGH University of Krakow
  • Centre National de la Recherche Scientifique
  • COATI: Combinatoire, Optimisation et Algorithmes pour les Télécommunications
  • Institute of Mathematics
  • Institut national de recherche en sciences et technologies du numérique
  • Polish Academy of Sciences
  • Université Côte d'Azur
  • Wrocław University of Science and Technology
arXiv abstractPDF
paper

Modularity of minor-free graphs

arXiv:2102.07253 · doi:10.1002/jgt.22896

Abstract

We prove that a class of graphs with an excluded minor and with the maximum degree sublinear in the number of edges is maximally modular, that is, modularity tends to 1 as the number of edges tends to infinity.

7 pages, 1 figure

References in corpus (1)

  • Fast unfolding of communities in large networks

Cited by in corpus (1)

  • Edge separators for graphs excluding a minor
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