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arXiv · 2411.12738

Tiling randomly perturbed bipartite graphs

Enrique Gomez-Leos·Ryan R. Martin
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Abstract

A perfect $H$-tiling in a graph $G$ is a collection of vertex-disjoint copies of a graph $H$ in $G$ that covers all vertices of $G$. Motivated by papers of Bush and Zhao and of Balogh, Treglown, and Wagner, we determine the threshold for the existence of a perfect $K_{h,h}$-tiling of a randomly perturbed bipartite graph with linear minimum degree.

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Enrique Gomez-Leos, Ryan R. Martin. 2024-11-19. Tiling randomly perturbed bipartite graphs. https://arxiv.org/abs/2411.12738

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