Minimum vertex degree threshold for loose Hamilton cycles in 3-uniform hypergraphs
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Publication:2349508
DOI10.1016/j.jctb.2015.03.007zbMath1315.05095arXiv1307.3693OpenAlexW3101931093MaRDI QIDQ2349508
Publication date: 22 June 2015
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.3693
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Cites Work
- Unnamed Item
- Unnamed Item
- On extremal hypergraphs for Hamiltonian cycles
- Large matchings in uniform hypergraphs and the conjectures of Erdős and samuels
- Tight co-degree condition for perfect matchings in 4-graphs
- Exact minimum degree thresholds for perfect matchings in uniform hypergraphs
- Dirac-type conditions for Hamiltonian paths and cycles in 3-uniform hypergraphs
- Loose Hamilton cycles in hypergraphs
- Loose Hamilton cycles in 3-uniform hypergraphs of high minimum degree
- Perfect matchings in 4-uniform hypergraphs
- An approximate Dirac-type theorem for \(k\)-uniform hypergraphs
- Dirac-type results for loose Hamilton cycles in uniform hypergraphs
- Hamilton \(\ell \)-cycles in uniform hypergraphs
- Perfect matchings in large uniform hypergraphs with large minimum collective degree
- Matchings in 3-uniform hypergraphs
- Minimum codegree threshold for Hamilton \(\ell\)-cycles in \(k\)-uniform hypergraphs
- Exact minimum degree thresholds for perfect matchings in uniform hypergraphs. II
- Families of triples with high minimum degree are Hamiltonian
- On Hamiltonian bipartite graphs
- Perfect Matchings in 3-Uniform Hypergraphs with Large Vertex Degree
- Tiling 3-Uniform Hypergraphs With K43−2e
- A Dirac-Type Theorem for 3-Uniform Hypergraphs
- Multicolored Hamilton Cycles and Perfect Matchings in Pseudorandom Graphs
- On Perfect Matchings in Uniform Hypergraphs with Large Minimum Vertex Degree
- Hamiltonian chains in hypergraphs
- Hamilton cycles in graphs and hypergraphs: an extremal perspective
- Tight Codegree Condition for the Existence of Loose Hamilton Cycles in 3-Graphs
- Some Theorems on Abstract Graphs
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