Powers of Hamilton cycles in random graphs and tight Hamilton cycles in random hypergraphs

DOI10.1002/rsa.20782zbMath1405.05167arXiv1601.04034OpenAlexW2964204704WikidataQ129520620 ScholiaQ129520620MaRDI QIDQ4625033

Rajko Nenadov, Nemanja Škorić

Publication date: 20 February 2019

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04034

zbMATH Keywords

random graphsHamilton cyclesabsorbing method

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Hypergraphs (05C65) Paths and cycles (05C38) Eulerian and Hamiltonian graphs (05C45)

Related Items (12)

On rainbow Hamilton cycles in random hypergraphs ⋮ Phase transition in cohomology groups of non-uniform random simplicial complexes ⋮ Triangle resilience of the square of a Hamilton cycle in random graphs ⋮ Covering cycles in sparse graphs ⋮ On powers of tight Hamilton cycles in randomly perturbed hypergraphs ⋮ What Are Higher-Order Networks? ⋮ Short k‐radius sequences, k‐difference sequences and universal cycles ⋮ Limiting distribution of short cycles in inhomogeneous random uniform hypergraph ⋮ Finding tight Hamilton cycles in random hypergraphs faster ⋮ Random perturbation of sparse graphs ⋮ Powers of tight Hamilton cycles in randomly perturbed hypergraphs ⋮ The threshold for the square of a Hamilton cycle

Cites Work

• How to avoid using the regularity Lemma: Pósa's conjecture revisited
• Limit distribution for the existence of Hamiltonian cycles in a random graph
• Vertex coverings by monochromatic cycles and trees
• Hamiltonian circuits in random graphs
• Robust Hamiltonicity of random directed graphs
• A Dirac-Type Theorem for 3-Uniform Hypergraphs
• Triangle Factors in Random Graphs
• Spanning Subgraphs of Random Graphs
• On Pósa's Conjecture for Random Graphs
• Tight Hamilton cycles in random uniform hypergraphs
• Tight Hamilton cycles in random hypergraphs
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