Journal article
A stability result for the cube edge isoperimetric inequality
- Abstract:
- We prove the following stability version of the edge isoperimetric inequality for the cube: any subset of the cube with average boundary degree within K of the minimum possible is ε-close to a union of L disjoint cubes, where L ≤ L(K, ε) is independent of the dimension. This extends a stability result of Ellis, and can viewed as a dimension-free version of Friedgut’s junta theorem.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 300.9KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jcta.2017.11.005
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Combinatorial Theory, Series A More from this journal
- Volume:
- 155
- Pages:
- 360-375
- Publication date:
- 2017-11-24
- Acceptance date:
- 2017-08-23
- DOI:
- ISSN:
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0097-3165
- Keywords:
- Pubs id:
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pubs:688663
- UUID:
-
uuid:621130cf-eed4-456d-b640-0dcd4fabf5cd
- Local pid:
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pubs:688663
- Source identifiers:
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688663
- Deposit date:
-
2017-09-12
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2017
- Notes:
-
Copyright © 2017 Elsevier Inc. This is the accepted manuscript version of the article. The final version is
available online from Elsevier at: https://doi.org/10.1016/j.jcta.2017.11.005
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