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Minimum vertex degree condition for tight Hamiltonian cycles in 3‐uniform hypergraphs

  • Published:2019-02-12 Issue:2 Volume:119 Page:409-439
  • ISSN:0024-6115
  • Container-title:Proceedings of the London Mathematical Society
  • language:en
  • Short-container-title:Proc. London Math. Soc.

Author:

Reiher Christian1,Rödl Vojtěch2,Ruciński Andrzej3,Schacht Mathias1,Szemerédi Endre4

Affiliation:

1. Fachbereich Mathematik Universität Hamburg D‐20146 Hamburg Germany

2. Department of Mathematics and Computer Science Emory University Atlanta GA 30322 USA

3. Department of Discrete Mathematics Adam Mickiewicz University 61‐614 Poznań Poland

4. Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences Budapest Hungary

Funder

National Science Foundation

European Research Council

Publisher

Wiley

Subject

General Mathematics

Reference22 articles.

1. A Hölder type inequality for symmetric matrices with nonnegative entries;Blakley G. R.;Proc. Amer. Math. Soc.,1965

2. Minimum vertex degree conditions for loose Hamilton cycles in 3-uniform hypergraphs

3. The minimum vertex degree for an almost-spanning tight cycle in a 3-uniform hypergraph

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1. Optimal spread for spanning subgraphs of Dirac hypergraphs;Journal of Combinatorial Theory, Series B;2024-11

2. Embedding loose spanning trees in 3-uniform hypergraphs;Journal of Combinatorial Theory, Series B;2024-09

3. Transference for loose Hamilton cycles in random 3‐uniform hypergraphs;Random Structures & Algorithms;2024-04-12

4. A general approach to transversal versions of Dirac‐type theorems;Bulletin of the London Mathematical Society;2023-07-30

5. Large Yk,b ${Y}_{k,b}$‐tilings and Hamilton ℓ $\ell $‐cycles in k $k$‐uniform hypergraphs;Journal of Graph Theory;2023-05-24
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