All reports by Author Guy Moshkovitz:

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TR20-029
| 6th March 2020
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Swastik Kopparty, Guy Moshkovitz, Jeroen Zuiddam#### Geometric Rank of Tensors and Subrank of Matrix Multiplication

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TR15-019
| 3rd February 2015
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Reut Levi, Guy Moshkovitz, Dana Ron, Ronitt Rubinfeld, Asaf Shapira#### Constructing Near Spanning Trees with Few Local Inspections

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TR11-138
| 24th October 2011
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Guy Moshkovitz#### Complexity Lower Bounds through Balanced Graph Properties

Swastik Kopparty, Guy Moshkovitz, Jeroen Zuiddam

Motivated by problems in algebraic complexity theory (e.g., matrix multiplication) and extremal combinatorics (e.g., the cap set problem and the sunflower problem), we introduce the geometric rank as a new tool in the study of tensors and hypergraphs. We prove that the geometric rank is an upper bound on the ... more >>>

Reut Levi, Guy Moshkovitz, Dana Ron, Ronitt Rubinfeld, Asaf Shapira

Constructing a spanning tree of a graph is one of the most basic tasks in graph theory. Motivated by several recent studies of local graph algorithms, we consider the following variant of this problem. Let $G$ be a connected bounded-degree graph. Given an edge $e$ in $G$ we would like ... more >>>

Guy Moshkovitz

In this paper we present a combinatorial approach for proving complexity lower bounds. We mainly focus on the following instantiation of it. Consider a pair of properties of $m$-edge regular hypergraphs. Suppose they are ``indistinguishable'' with respect to hypergraphs with $m-t$ edges, in the sense that every such hypergraph has ... more >>>