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
Actions
Access Document
- Files:
-
-
(Accepted manuscript, pdf, 300.9KB)
-
- Publisher copy:
- 10.1016/j.jcta.2017.11.005
Why is the content I wish to access not available via ORA?
Bibliographic data (the information relating to research outputs) and full-text items (e.g. articles, theses, reports, etc.) arrive in ORA from several different sources. Unfortunately we are not able to make available the full-text for every research output.
Please contact the ORA team (
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
Content may be unavailable for the following four reasons
-
Version unsuitable
-
We have not obtained a suitable full-text for a given research output. See this page for more information.
-
Recently completed
-
Sometimes content is held in ORA but is unavailable for a fixed period of time to comply with the policies and wishes of rights holders.
-
Permissions
-
All content made available in ORA should comply with relevant rights, such as copyright. See this page for more information.
-
Clearance
-
Some thesis volumes scanned as part of the digitisation scheme funded by Dr Leonard Polonsky are currently unavailable due to sensitive material or uncleared third-party copyright content. We are attempting to contact authors whose theses are affected.
Alternative access to the full-text
You may be able to access the full-text directly from the publisher's website using the 'Publisher Copy' link in the 'Links & Downloads' box from a research output's ORA record page. This method may require an institutional or individual subscription to the journal/resource.
Authors
Funding
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Journal of Combinatorial Theory, Series A Journal website
- Volume:
- 155
- Pages:
- 360-375
- Publication date:
- 2017-11-24
- Acceptance date:
- 2017-08-23
- DOI:
- ISSN:
-
0097-3165
- Source identifiers:
-
688663
Item Description
- Keywords:
- Pubs id:
-
pubs:688663
- UUID:
-
uuid:621130cf-eed4-456d-b640-0dcd4fabf5cd
- Local pid:
- pubs:688663
- Deposit date:
- 2017-09-12
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
If you are the owner of this record, you can report an update to it here: Report update to this record