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Hypergraph Turán densities can have arbitrarily large algebraic degree.
- Source :
-
Journal of Combinatorial Theory - Series B . Jul2023, Vol. 161, p407-416. 10p. - Publication Year :
- 2023
-
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]
Details
- Language :
- English
- ISSN :
- 00958956
- Volume :
- 161
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series B
- Publication Type :
- Academic Journal
- Accession number :
- 163308536
- Full Text :
- https://doi.org/10.1016/j.jctb.2023.03.003