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20072026
most citedA Proof of Green's Conjecture Regarding the Removal Properties of Sets of Linear Equations

23 citations · 54 across the 45 of their papers we have counts for

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Showing 2025Show all

6 papers · 1 filter

cs.DS2025

Polynomial Property Testing

Lior Gishboliner, Asaf Shapira

Property testers are fast, randomized "election polling"-type algorithms that determine if an input (e.g., graph or hypergraph) has a certain property or is -far from…

math.CO2025

Regularity for hypergraphs with bounded VC dimension

Lior Gishboliner, Asaf Shapira, Yuval Wigderson

While Szemerédi's graph regularity lemma is an indispensable tool for studying extremal problems in graph theory, using it comes with a hefty price, since a worst-case graph may on…

cs.DS2025

A Fast Coloring Oracle for Average Case Hypergraphs

Cassandra Marcussen, Edward Pyne, Ronitt Rubinfeld +2

Hypergraph -colorability is one of the classical NP-hard problems. Person and Schacht [SODA'09] designed a deterministic algorithm whose expected running time is polynomial over…

math.CO2025

When does a tree activate the random graph?

Asaf Cohen Antonir, Yuval Peled, Asaf Shapira +2

Let and be two graphs. A spanning subgraph of is called weakly -saturated if one can add to the edges of in some order, so that whenever a ne…

math.CO2025

Is it easy to regularize a hypergraph with easy links?

Lior Gishboliner, Asaf Shapira, Yuval Wigderson

A partition of a (hyper)graph is -homogenous if the edge densities between almost all clusters are either at most or at least . Suppose a…

math.CO2025

Hardness of Hypergraph Edge Modification Problems

Lior Gishboliner, Yevgeny Levanzov, Asaf Shapira

For a fixed graph , let denote the size of the largest -free subgraph of . Computing or estimating for various pairs is one of the central proble…