License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2022.4
URN: urn:nbn:de:0030-drops-173967
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/17396/
Dinur, Irit
Expanders in Higher Dimensions (Invited Talk)
Abstract
Expander graphs have been studied in many areas of mathematics and in computer science with versatile applications, including coding theory, networking, computational complexity and geometry.
High-dimensional expanders are a generalization that has been studied in recent years and their promise is beginning to bear fruit. In the talk, I will survey some powerful local to global properties of high-dimensional expanders, and describe several interesting applications, ranging from convergence of random walks to construction of locally testable codes that prove the c³ conjecture (namely, codes with constant rate, constant distance, and constant locality).
BibTeX - Entry
@InProceedings{dinur:LIPIcs.FSTTCS.2022.4,
author = {Dinur, Irit},
title = {{Expanders in Higher Dimensions}},
booktitle = {42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2022)},
pages = {4:1--4:1},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-261-7},
ISSN = {1868-8969},
year = {2022},
volume = {250},
editor = {Dawar, Anuj and Guruswami, Venkatesan},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2022/17396},
URN = {urn:nbn:de:0030-drops-173967},
doi = {10.4230/LIPIcs.FSTTCS.2022.4},
annote = {Keywords: Expanders}
}
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Keywords: |
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Expanders |
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Collection: |
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42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2022) |
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Issue Date: |
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2022 |
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Date of publication: |
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14.12.2022 |
