TY - GEN
T1 - HDX Condensers
AU - Cohen, Itay
AU - Roth, Roy
AU - Ta-Shma, Amnon
N1 - Publisher Copyright: © 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - More than twenty years ago, Capalbo, Rein-gold, Vadhan and Wigderson gave the first (and up to date only) explicit construction of a bipartite expander with almost full combinatorial expansion. The construction incorporates zig-zag ideas together with extractor technology, and is rather complicated. We give an alternative construction that builds upon recent constructions of hyper-regular, high-dimensional expanders. The new construction is, in our opinion, simple and elegant.Beyond demonstrating a new, surprising, and intriguing, application of high-dimensional expanders, the construction employs totally new ideas which we hope may lead to progress on the still remaining open problems in the area.
AB - More than twenty years ago, Capalbo, Rein-gold, Vadhan and Wigderson gave the first (and up to date only) explicit construction of a bipartite expander with almost full combinatorial expansion. The construction incorporates zig-zag ideas together with extractor technology, and is rather complicated. We give an alternative construction that builds upon recent constructions of hyper-regular, high-dimensional expanders. The new construction is, in our opinion, simple and elegant.Beyond demonstrating a new, surprising, and intriguing, application of high-dimensional expanders, the construction employs totally new ideas which we hope may lead to progress on the still remaining open problems in the area.
KW - High Dimensional Expanders
KW - Lossless Condensers
KW - Randomness Condensers
KW - Spectral Graph Theory
UR - http://www.scopus.com/inward/record.url?scp=85182398972&partnerID=8YFLogxK
U2 - 10.1109/FOCS57990.2023.00100
DO - 10.1109/FOCS57990.2023.00100
M3 - منشور من مؤتمر
T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
SP - 1649
EP - 1664
BT - Proceedings - 2023 IEEE 64th Annual Symposium on Foundations of Computer Science, FOCS 2023
PB - IEEE Computer Society
T2 - 64th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2023
Y2 - 6 November 2023 through 9 November 2023
ER -