Graph quasivarieties

Erkko Lehtonen, Reinhard Pöschel

Research output: Contribution to journalArticlepeer-review


Introduced by C. R. Shallon in 1979, graph algebras establish a useful connection between graph theory and universal algebra. This makes it possible to investigate graph varieties and graph quasivarieties, i.e., classes of graphs described by identities or quasi-identities. In this paper, graph quasivarieties are characterized as classes of graphs closed under directed unions of isomorphic copies of finite strong pointed subproducts.Â

Original languageBritish English
Pages (from-to)31-50
Number of pages20
JournalActa Scientiarum Mathematicarum
Issue number1-2
StatePublished - 2020


  • Graph algebras
  • Quasivarieties


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