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1. Hypergraph Turán densities can have arbitrarily large algebraic degree.

Author

Liu, Xizhi and Pikhurko, Oleg

Subjects
*DENSITY, *INTEGERS
Abstract

Grosu (2016) [11] asked if there exist an integer r ≥ 3 and a finite family of r -graphs whose Turán density, as a real number, has (algebraic) degree greater than r − 1. In this note we show that, for all integers r ≥ 3 and d , there exists a finite family of r -graphs whose Turán density has degree at least d , thus answering Grosu's question in a strong form. [ABSTRACT FROM AUTHOR]

Published
2023
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