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Large degree vertices in longest cycles of graphs. I

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Publication:274689
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DOI10.7151/dmgt.1861zbMath1338.05136OpenAlexW2330835771MaRDI QIDQ274689

F. Blanchet-Sadri, M. Dambrine

Publication date: 25 April 2016

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.1861


zbMATH Keywords

orderconnectivitylongest cycleindependent numberlarge degree vertices


Mathematics Subject Classification ID

Paths and cycles (05C38)


Related Items (3)

A multi-threading algorithm to detect and remove cycles in vertex- and arc-weighted digraph ⋮ The longest cycle problem is polynomial on interval graphs ⋮ Large degree vertices in longest cycles of graphs II



Cites Work

  • Unnamed Item
  • Longest cycles in \(k\)-connected graphs with given independence number
  • Cycles through specified vertices
  • Long cycles through specified vertices in a graph
  • Cycles in graphs with prescribed stability number and connectivity
  • Forbidden subgraphs for longest cycles to contain vertices with large degrees
  • A note on Hamiltonian circuits
  • 2‐neighborhoods and hamiltonian conditions
  • Cycles through specified vertices in triangle-free graphs
  • Some Theorems on Abstract Graphs


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