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Bibliographic Details
Main Authors: Araujo, Igor, Xiang, Zimu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.13267
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Table of Contents:
  • An oriented graph $H$ is Turánable (resp. tileable) if there exist $n_0 \in \mathbb{N}$ such that every semi-regular near-tournament on $n \ge n_0$ vertices contains a copy of $H$ (resp. a perfect $H$-tiling). We disprove a conjectured characterization of Turánable oriented graphs by DeBiasio, Han, Lo, Molla, Piga, and Treglown, show that there are Turánable oriented graphs which are not tileable, and provide a new example of tileable oriented graph.