A generalisation of higher-rank graphs

Mark V. Lawson*, Alina Vdovina

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
40 Downloads (Pure)


We introduce 'generalised higher-rank k-graphs' as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-rank k-graphs can be constructed using Zappa-Szép products of groupoids and higher-rank graphs.

Original languageEnglish
Pages (from-to)257-266
Number of pages10
JournalBulletin of the Australian Mathematical Society
Issue number2
Early online date26 Jul 2021
Publication statusPublished - Apr 2022


  • 18B40
  • 2020 Mathematics subject classification
  • 46L05

ASJC Scopus subject areas

  • General Mathematics


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