Universal infinite clique-omitting graphs

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Dzamonja, Mirna (2016) Universal infinite clique-omitting graphs. Sarajevo Journal of Mathematics, 12 (25) (2). pp. 151-154.

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Logic (former - to 2024)
Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User: Pure Connector
Date Deposited: 28 Sep 2016 15:00
Last Modified: 28 Mar 2025 07:44
URI: https://ueaeprints.uea.ac.uk/id/eprint/60626
DOI: 10.5644/SJM.12.2.02

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