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Main Authors: Nagy, Gábor V., Süli, Ákos
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.11543
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author Nagy, Gábor V.
Süli, Ákos
author_facet Nagy, Gábor V.
Süli, Ákos
contents An elegant bootstrap percolation result on the hyperrectangle graph was proved by Balogh, Bollobás, Morris, and Riordan using a linear algebric method in 2012. This paper studies the same problem by purely combinatorial means. The base case is solved for all dimensions, and we pose open problems for the remaining cases.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11543
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Combinatorial Methods in Bootstrap Percolation Problems
Nagy, Gábor V.
Süli, Ákos
Combinatorics
An elegant bootstrap percolation result on the hyperrectangle graph was proved by Balogh, Bollobás, Morris, and Riordan using a linear algebric method in 2012. This paper studies the same problem by purely combinatorial means. The base case is solved for all dimensions, and we pose open problems for the remaining cases.
title Combinatorial Methods in Bootstrap Percolation Problems
topic Combinatorics
url https://arxiv.org/abs/2508.11543