English

Graph quasivarieties

Rings and Algebras 2020-05-19 v1 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.1905.11134,
  title  = {Graph quasivarieties},
  author = {Erkko Lehtonen and Reinhard Pöschel},
  journal= {arXiv preprint arXiv:1905.11134},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T09:26:11.508Z