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How many random edges make a graph Hamiltonian?

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Publication:1055442
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DOI10.1007/BF02579348zbMath0521.05056WikidataQ105583337 ScholiaQ105583337MaRDI QIDQ1055442

Eli Shamir

Publication date: 1983

Published in: Combinatorica (Search for Journal in Brave)


zbMATH Keywords

Hamiltonian paththreshold edge probability


Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Eulerian and Hamiltonian graphs (05C45)


Related Items

Finding Hamilton cycles in sparse random graphs ⋮ An algorithm for finding Hamilton paths and cycles in random graphs ⋮ Finding tight Hamilton cycles in random hypergraphs faster ⋮ A distributed algorithm for finding Hamiltonian cycles in random graphs in \(O(\log n)\) time ⋮ A simple linear expected time algorithm for finding a Hamilton path ⋮ Tight Hamilton cycles in random hypergraphs



Cites Work

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  • Limit distribution for the existence of Hamiltonian cycles in a random graph
  • Fast probabilistic algorithms for Hamiltonian circuits and matchings
  • On factors in random graphs
  • The longest path in a random graph
  • One-factor in random graphs based on vertex choice
  • Hamiltonian circuits in random graphs
  • On the existence of Hamiltonian cycles in a class of random graphs
  • On the strength of connectedness of a random graph
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