Graph quasivarieties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2020Embargo end date: 01 Jan 2019 English Publisher:Springer Science and Business Media LLCJournal:Acta Scientiarum Mathematicarum, volume 86, pages 31-50 (issn: 0001-6969, eissn: 2064-8316,

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Authors: Lehtonen, Erkko; Pöschel, Reinhard;

doi: 10.14232/actasm-019-528-9 , 10.48550/arxiv.1905.11134

arXiv: 1905.11134

Graph quasivarieties

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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.

15 pages

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Mathematics - Rings and Algebras, Combinatorics (math.CO)

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