Supercritical site percolation on the hypercube: Small components are small

Sahar Diskin; Michael Krivelevich

doi:10.1017/S0963548322000323

Supercritical site percolation on the hypercube: Small components are small

Sahar Diskin, Michael Krivelevich

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We consider supercritical site percolation on the -dimensional hypercube. We show that typically all components in the percolated hypercube, besides the giant, are of size. This resolves a conjecture of Bollobás, Kohayakawa, and Łuczak from 1994.

Original language	English
Pages (from-to)	422-427
Number of pages	6
Journal	Combinatorics Probability and Computing
Volume	32
Issue number	3
DOIs	https://doi.org/10.1017/S0963548322000323
State	Published - 1 May 2023

Keywords

Hypercube
Percolation
Random graphs

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Statistics and Probability
Computational Theory and Mathematics
Applied Mathematics

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10.1017/S0963548322000323

Cite this

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abstract = "We consider supercritical site percolation on the -dimensional hypercube. We show that typically all components in the percolated hypercube, besides the giant, are of size. This resolves a conjecture of Bollob{\'a}s, Kohayakawa, and {\L}uczak from 1994.",

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KW - Random graphs

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M3 - مقالة

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Supercritical site percolation on the hypercube: Small components are small

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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