English

Modularity of minor-free graphs

Combinatorics 2021-02-16 v1

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.

Keywords

Cite

@article{arxiv.2102.07253,
  title  = {Modularity of minor-free graphs},
  author = {Michał Lasoń and Małgorzata Sulkowska},
  journal= {arXiv preprint arXiv:2102.07253},
  year   = {2021}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-23T23:09:02.031Z