Minimal definable graphs of definable chromatic number at least three

We show that there is a Borel graph on a standard Borel space of Borel chromatic number three that admits a Borel homomorphism to every analytic graph on a standard Borel space of Borel chromatic number at least three. Moreover, we characterize the Borel graphs on standard Borel spaces of vertex-deg...

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Bibliographic Details
Main Authors: Raphaël Carroy, Benjamin D. Miller, David Schrittesser, Zoltán Vidnyánszky
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000584/type/journal_article