Publications associées à Couplage (théorie des graphes)

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

The vertex cover problem is one of the most important and intensively studied combinatorial optimization problems. Khot and Regev [Khot S, Regev O (2008) Vertex cover might be hard to approximate to within 2 - epsilon. J. Comput. System Sci. 74(3): 335-349 ...

INFORMS2019

Linearity of saturation for Berge hypergraphs

Abhishek Methuku

For a graph F, we say a hypergraph H is a Berge-F if it can be obtained from F by replacing each edge of F with a hyperedge containing it. We say a hypergraph is Berge-F-saturated if it does not contain a Berge-F, but adding any hyperedge creates a copy of ...

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD2019

Graph Spectral Clustering of Convolution Artefacts in Radio Interferometric Images

Paul Hurley, Matthieu Martin Jean-André Simeoni

The starting point for deconvolution methods in radioastronomy is an estimate of the sky intensity called a dirty image. These methods rely on the telescope point-spread function so as to remove artefacts which pollute it. In this work, we show that the in ...

IEEE2019

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

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

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

Slobodan Mitrovic, Mohsen Ghaffari

We present O(log log n)-round algorithms in the Massively Parallel Computation (MPC) model, with a(n) memory per machine, that compute a maximal independent set, a 1 + epsilon approximation of maximum matching, and a 2 + epsilon approximation of minimum ve ...

ASSOC COMPUTING MACHINERY2018

A Framework for the Secretary Problem on the Intersection of Matroids

Ola Nils Anders Svensson, Moran Feldman, Rico Zenklusen

The secretary problem became one of the most prominent online selection problems due to its numerous applications in online mechanism design. The task is to select a maximum weight subset of elements subject to given constraints, where elements arrive one- ...

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

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Couplage (théorie des graphes)

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

Saturation of Berge hypergraphs

Linearity of saturation for Berge hypergraphs

Graph Spectral Clustering of Convolution Artefacts in Radio Interferometric Images

Round Compression for Parallel Matching Algorithms

Finding Perfect Matchings in Bipartite Hypergraphs

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

When Stuck, Flip a Coin

A Framework for the Secretary Problem on the Intersection of Matroids

The Sketching Complexity of Graph and Hypergraph Counting

Graph Chatbot

Chattez avec Graph Search

Linearity of saturation for Berge hypergraphs

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

Graph Spectral Clustering of Convolution Artefacts in Radio Interferometric Images

Round Compression for Parallel Matching Algorithms

Finding Perfect Matchings in Bipartite Hypergraphs

When Stuck, Flip a Coin

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

A Framework for the Secretary Problem on the Intersection of Matroids

The Sketching Complexity of Graph and Hypergraph Counting

Saturation of Berge hypergraphs