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Bibliographic Details
Main Authors: Gerbner, Dániel, Palmer, Cory
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.03418
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Table of Contents:
  • For fixed graphs $H$ and $F$, the \emph{generalized Turán number} $\mathrm{ex}(n,H,F)$ is the maximum possible number of copies of a subgraph $H$ in an $n$-vertex $F$-free graph. This article is a survey of this extremal function whose study was initiated in an influential 2016 article by Alon and Shikhelman (\emph{J. Combin. Theory, B}, {\bf 121}, 2016).