Limit points of spectra for first-order properties of random hypergraphs

Limit points of spectra for first-order properties of random hypergraphs

The notion of spectrum for first-order properties introduced by J. Spencer for Erdős–Rényi random graph is considered in relation to random uniform hypergraphs. In this work we study the set of limit points of the spectrum for first-order formulae with bounded quantifier depth and give bounds for it...

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Veröffentlicht in:Discrete Applied Mathematics 2021-04, Vol.293, p.134-142
1. Verfasser: Popova, S.N.
Format: Artikel
Sprache:eng
Schlagworte:
First-order properties
Graph theory
Graphs
Random hypergraphs
Zero–one law
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Zusammenfassung:The notion of spectrum for first-order properties introduced by J. Spencer for Erdős–Rényi random graph is considered in relation to random uniform hypergraphs. In this work we study the set of limit points of the spectrum for first-order formulae with bounded quantifier depth and give bounds for its minimum value.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2021.01.015