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\(\beta \)-degree closures for graphs

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Publication:1025908
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DOI10.1016/j.disc.2008.07.036zbMath1210.05073OpenAlexW2013381657MaRDI QIDQ1025908

Ahmed Ainouche

Publication date: 23 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.07.036

zbMATH Keywords

stabilitydegree sequencecyclabilityclosurehamiltonicity\(k\)-leaf-connected


Mathematics Subject Classification ID

Eulerian and Hamiltonian graphs (05C45) Vertex degrees (05C07) Graph operations (line graphs, products, etc.) (05C76)


Related Items

\(\alpha\)-degree closures for graphs, \(\beta\)-neighborhood closures for graphs, Dirac's type sufficient conditions for hamiltonicity and pancyclicity



Cites Work

  • Unnamed Item
  • Semi-independence number of a graph and the existence of Hamiltonian circuits
  • Strong sufficient conditions for the existence of Hamiltonian circuits in undirected graphs
  • More powerful closure operations on graphs
  • A method in graph theory
  • A closure concept based on neighborhood unions of independent triples
  • 0-dual closures for several classes of graphs
  • Closure concepts: A survey
  • Extension of several sufficient conditions for Hamiltonian graphs
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