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Generating all cycles, chordless cycles, and Hamiltonian cycles with the principle of exclusion

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Publication:954963
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DOI10.1016/j.jda.2007.01.005zbMath1229.05187OpenAlexW1990695762MaRDI QIDQ954963

Marcel Wild

Publication date: 18 November 2008

Published in: Journal of Discrete Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jda.2007.01.005


zbMATH Keywords

generating all chordless cyclesgenerating all cyclesgenerating all Hamiltonian cycles


Mathematics Subject Classification ID

Paths and cycles (05C38) Graph algorithms (graph-theoretic aspects) (05C85) Eulerian and Hamiltonian graphs (05C45)


Related Items (1)

Gray codes generation algorithm and theoretical evaluation of random walks in \(N\)-cubes



Cites Work

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  • Polyhedral proof methods in combinatorial optimization
  • An Efficient Cycle Vector Space Algorithm for Listing All Cycles of a Planar Graph
  • Bounds on Backtrack Algorithms for Listing Cycles, Paths, and Spanning Trees
  • On Algorithms for Enumerating All Circuits of a Graph
  • A Mechanical Analysis of the Cyclic Structure of Undirected Linear Graphs
  • A Cycle Generation Algorithm for Finite Undirected Linear Graphs


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