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Minimal Cycle Bases of Outerplanar Graphs




Two-connected outerplanar graphs have a unique minimal cycle basis with length $2|E|-|V|$. They are the only Hamiltonian graphs with a cycle basis of this length.

Suggested Citation

  • Josef Leydold & Peter F. Stadler, 1998. "Minimal Cycle Bases of Outerplanar Graphs," Working Papers 98-01-011, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:98-01-011

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    Cited by:

    1. Wilfried Imrich & Peter F. Stadler, 2001. "Minimum Cycle Bases of Product Graphs," Working Papers 01-08-044, Santa Fe Institute.

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    Minimal cycle basis; outerplanar graphs;

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