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Minor and minimum cycle bases of a 3-connected planar graph

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Publication:1034289
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DOI10.1007/s10114-009-7160-5zbMath1182.05043OpenAlexW1970501868MaRDI QIDQ1034289

Han Ren, Dengju Ma

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7160-5


zbMATH Keywords

cycle space3-connected planar graphminimum cycle base


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)


Related Items

Removable edges in cycles of a \(k\)-connected graph



Cites Work

  • Unnamed Item
  • Short cycle structures for graphs on surfaces and an open problem of Mohar and Thomassen
  • Minimal cycle bases of outerplanar graphs
  • Generating cycle spaces for graphs on surfaces with small genera
  • A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph
  • On connectivities of tree graphs
  • On Algorithms for Enumerating All Circuits of a Graph
  • An algorithm for the longest cycle problem
  • Minimum cycle bases of Halin graphs
  • On Representatives of Subsets
  • How to Draw a Graph
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