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research article

Saturation of Berge hypergraphs

English, Sean
•
Gordon, Pamela
•
Graber, Nathan
Show more
June 1, 2019
Discrete Mathematics

Given a graph F, a hypergraph is a Berge-F if it can be obtained by expanding each edge in F to a hyperedge containing it. A hypergraph H is Berge-F-saturated if H does not contain a subhypergraph that is a Berge-F, but for any edge e is an element of E((H) over bar), H + e does. The k-uniform saturation number of Berge-F is the minimum number of edges in a k-uniform Berge-F-saturated hypergraph on n vertices. For k = 2 this definition coincides with the classical definition of saturation for graphs. In this paper we study the saturation numbers for Berge triangles, paths, cycles, stars and matchings in k-uniform hypergraphs. (C) 2019 Elsevier B.V. All rights reserved.

  • Details
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Type
research article
DOI
10.1016/j.disc.2019.01.031
Web of Science ID

WOS:000466833400018

Author(s)
English, Sean
Gordon, Pamela
Graber, Nathan
Methuku, Abhishek  
Sullivan, Eric C.
Date Issued

2019-06-01

Publisher

Elsevier

Published in
Discrete Mathematics
Volume

342

Issue

6

Start page

1738

End page

1761

Subjects

Mathematics

•

hypergraph

•

saturation

•

berge containment

•

berge saturation

•

3-uniform hypergraphs

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
DCG  
Available on Infoscience
June 18, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/157692
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