Publications associées à Matching in hypergraphs

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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

Counting Intersecting and Pairs of Cross-Intersecting Families

Andrei Kupavskii

A family of subsets of {1, ... , n} is called intersecting if any two of its sets intersect. A classical result in extremal combinatorics due to Erdos, Ko and Rado determines the maximum size of an intersecting family of k-subsets of {1, ... , n}. In this ...

Cambridge Univ Press2018

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

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

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

Geometric Graph Matching Using Monte Carlo Tree Search

Pascal Fua, Jan Kybic, Miguel Amável Dos Santos Pinheiro

We present an efficient matching method for generalized geometric graphs. Such graphs consist of vertices in space connected by curves and can represent many real world structures such as road networks in remote sensing, or vessel networks in medical imagi ...

Ieee Computer Soc2017

On Computing Breakpoint Distances for Genomes with Duplicate Genes

Bernard Moret, Mingfu Shao

A fundamental problem in comparative genomics is to compute the distance between two genomes in terms of its higher level organization (given by genes or syntenic blocks). For two genomes without duplicate genes, we can easily define (and almost always eff ...

Mary Ann Liebert, Inc2017

Combinatorial Algorithm for Restricted Max-Min Fair Allocation

Ola Nils Anders Svensson, Christos Kalaitzis, Chidambaram Annamalai

We study the basic allocation problem of assigning resources to players to maximize fairness. This is one of the few natural problems that enjoys the intriguing status of having a better estimation algorithm than approximation algorithm. Indeed, a certain ...

Association for Computing Machinery2017

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

Matching in hypergraphs

Graph Chatbot

Chattez avec Graph Search

Finding Perfect Matchings in Bipartite Hypergraphs

Counting Intersecting and Pairs of Cross-Intersecting Families

Round Compression for Parallel Matching Algorithms

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

The Sketching Complexity of Graph and Hypergraph Counting

The hamburger theorem

Geometric Graph Matching Using Monte Carlo Tree Search

On Computing Breakpoint Distances for Genomes with Duplicate Genes

Combinatorial Algorithm for Restricted Max-Min Fair Allocation

On the Zarankiewicz problem for intersection hypergraphs

The hamburger theorem

Combinatorial Algorithm for Restricted Max-Min Fair Allocation

Finding Perfect Matchings in Bipartite Hypergraphs

The Sketching Complexity of Graph and Hypergraph Counting

Round Compression for Parallel Matching Algorithms

On the Zarankiewicz problem for intersection hypergraphs

Geometric Graph Matching Using Monte Carlo Tree Search

On Computing Breakpoint Distances for Genomes with Duplicate Genes

Counting Intersecting and Pairs of Cross-Intersecting Families

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