Publications associées à Monochromatic cycle covers in random graphs

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Space Efficient Approximation to Maximum Matching Size from Uniform Edge Samples

Mikhail Kapralov, Slobodan Mitrovic, Ashkan Norouzi Fard, Jakab Tardos

Given a source of iid samples of edges of an input graph G with n vertices and m edges, how many samples does one need to compute a constant factor approximation to the maximum matching size in G? Moreover, is it possible to obtain such an estimate in a sm ...

ASSOC COMPUTING MACHINERY2020

Stability results for vertex Turatn problems in Kneser graphs

Abhishek Methuku

The vertex set of the Kneser graph K(n, k) is V = (([n])(k)) and two vertices are adjacent if the corresponding sets are disjoint. For any graph F, the largest size of a vertex set U subset of V such that K(n, k)[U] is F-free, was recently determined by Al ...

ELECTRONIC JOURNAL OF COMBINATORICS2019

The Sketching Complexity of Graph and Hypergraph Counting

Mikhail Kapralov, John Michael Goddard Kallaugher

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph counting has been ...

IEEE COMPUTER SOC2018

A Polynomial Regularity Lemma For Semialgebraic Hypergraphs And Its Applications In Geometry And Property Testing

János Pach

In this paper, we prove several extremal results for geometrically defined hypergraphs. In particular, we establish an improved lower bound, single exponentially decreasing in k, on the best constant delta > 0 such that the vertex classes P-1,...,P-k of ev ...

Society for Industrial and Applied Mathematics2016

On the Zarankiewicz problem for intersection hypergraphs

János Pach

Let d and t be fixed positive integers, and let denote the complete d-partite hypergraph with t vertices in each of its parts, whose hyperedges are the d-tuples of the vertex set with precisely one element from each part. According to a fundamental theorem ...

Academic Press Inc Elsevier Science2016

The Erdos-Hajnal conjecture for rainbow triangles

János Pach

We prove that every 3-coloring of the edges of the complete graph on n vertices without a rainbow triangle contains a set of order ohm(n(1/3) log(2) n) which uses at most two colors, and this bound is tight up to a constant factor. This verifies a conjectu ...

Academic Press Inc Elsevier Science2015

When Can Two Unlabeled Networks Be Aligned Under Partial Overlap?

Matthias Grossglauser, Ehsan Kazemi, Lyudmila Yartseva

Network alignment refers to the problem of matching the vertex sets of two unlabeled graphs, which can be viewed as a generalization of the classic graph isomorphism problem. Network alignment has applications in several fields, including social network an ...

2015

Monochromatic cycle covers in random graphs

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Chattez avec Graph Search

Space Efficient Approximation to Maximum Matching Size from Uniform Edge Samples

Ramsey numbers of ordered graphs

On the Turan number of ordered forests

Stability results for vertex Turatn problems in Kneser graphs

Tight Bounds for Online Edge Coloring

The Sketching Complexity of Graph and Hypergraph Counting

A Polynomial Regularity Lemma For Semialgebraic Hypergraphs And Its Applications In Geometry And Property Testing

On the Zarankiewicz problem for intersection hypergraphs

The Erdos-Hajnal conjecture for rainbow triangles

When Can Two Unlabeled Networks Be Aligned Under Partial Overlap?

Space Efficient Approximation to Maximum Matching Size from Uniform Edge Samples

Ramsey numbers of ordered graphs

The Sketching Complexity of Graph and Hypergraph Counting

On the Turan number of ordered forests

Stability results for vertex Turatn problems in Kneser graphs

Tight Bounds for Online Edge Coloring

On the Zarankiewicz problem for intersection hypergraphs

A Polynomial Regularity Lemma For Semialgebraic Hypergraphs And Its Applications In Geometry And Property Testing

The Erdos-Hajnal conjecture for rainbow triangles

When Can Two Unlabeled Networks Be Aligned Under Partial Overlap?