Publications related to Linearity of saturation for Berge hypergraphs

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Asyrnptotics for the Turan number of Berge-K-2,K-t

Abhishek Methuku

Let F be a graph. A hypergraph is called Berge-F if it can be obtained by replacing each edge in F by a hyperedge containing it. Let F be a family of graphs. The Turan number of the family Berge-F is the maximum possible number of edges in an r-uniform hyp ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Finding Perfect Matchings in Bipartite Hypergraphs

Chidambaram Annamalai

Haxell's condition [14] is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perf ...

SPRINGER HEIDELBERG2018

Round Compression for Parallel Matching Algorithms

Slobodan Mitrovic, Aleksander Madry

For over a decade now we have been witnessing the success of massive parallel computation (MPC) frameworks, such as MapReduce, Hadoop, Dryad, or Spark. One of the reasons for their success is the fact that these frameworks are able to accurately capture th ...

ASSOC COMPUTING MACHINERY2018

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

Growing a Graph Matching from a Handful of Seeds

Matthias Grossglauser, Seyed Hamed Hassani, Ehsan Kazemi

In many graph–mining problems, two networks from different domains have to be matched. In the absence of reliable node attributes, graph matching has to rely on only the link structures of the two networks, which amounts to a generalization of the classic ...

Assoc Computing Machinery2015

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

On the Performance of Percolation Graph Matching

Matthias Grossglauser, Lyudmila Yartseva

Graph matching is a generalization of the classic graph isomorphism problem. By using only their structures a graph-matching algorithm finds a map between the vertex sets of two similar graphs. This has applications in the de-anonymization of social and in ...

ACM2013

Linearity of saturation for Berge hypergraphs

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Asyrnptotics for the Turan number of Berge-K-2,K-t

New Graph Algorithms via Polyhedral Techniques

Finding Perfect Matchings in Bipartite Hypergraphs

Round Compression for Parallel Matching Algorithms

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

Growing a Graph Matching from a Handful of Seeds

The Erdos-Hajnal conjecture for rainbow triangles

On the Performance of Percolation Graph Matching

Asyrnptotics for the Turan number of Berge-K-2,K-t

New Graph Algorithms via Polyhedral Techniques

On the Performance of Percolation Graph Matching

On the Zarankiewicz problem for intersection hypergraphs

Growing a Graph Matching from a Handful of Seeds

The Erdos-Hajnal conjecture for rainbow triangles

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

The Sketching Complexity of Graph and Hypergraph Counting

Round Compression for Parallel Matching Algorithms

Finding Perfect Matchings in Bipartite Hypergraphs