UNIVERSAL INFINITE CLIQUE-OMITTING GRAPHS

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 United Kingdom Publisher:Academy of Sciences and Arts of Bosnia and HerzegovinaJournal:Sarajevo Journal of Mathematics

Authors: Dzamonja, Mirna;

doi: 10.5644/sjm.12.2.02

UNIVERSAL INFINITE CLIQUE-OMITTING GRAPHS

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Abstract

The main result of the paper is that when κ is a cardinal of cofi- nality ω and λ ≥ κ, the class of graphs of size λ omitting cliques of size κ has no universal element under graph homomorphisms (or the weak and strong embeddings). This theorem only requires ZF.

Country

United Kingdom

Related Organizations

University of East Anglia
United Kingdom

Keywords

330, 004

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