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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ITAY COHEN:
All reports by Author Itay Cohen:

TR23-183 | 24th November 2023
Gil Cohen, Itay Cohen, Gal Maor, Yuval Peled

Derandomized Squaring: An Analytical Insight into Its True Behavior

The notion of the derandomized square of two graphs, denoted as $G \circ H$, was introduced by Rozenman and Vadhan as they rederived Reingold's Theorem, $\mathbf{SL} = \mathbf{L}$. This pseudorandom primitive, closely related to the Zig-Zag product, plays a crucial role in recent advancements on space-bounded derandomization. For this and ... more >>>


TR23-090 | 15th June 2023
Itay Cohen, Roy Roth, Amnon Ta-Shma

HDX Condensers

More than twenty years ago, Capalbo, Reingold, 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 ... more >>>


TR22-154 | 6th November 2022
Gil Cohen, Itay Cohen

Spectral Expanding Expanders

Dinitz, Schapira, and Valadarsky (Algorithmica 2017) introduced the intriguing notion of expanding expanders -- a family of expander graphs with the property that every two consecutive graphs in the family differ only on a small number of edges. Such a family allows one to add and remove vertices with only ... more >>>




ISSN 1433-8092 | Imprint