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Minimum Cycle Bases of Product Graphs

Author

Listed:
  • Wilfried Imrich
  • Peter F. Stadler

Abstract

A construction for a minimal cycle basis for the Cartesian and the strong product of two graphs from the minimal length cycle bases of the factors is presented. Furthermore, we derive asymptotic expressions for the average length of the cycles in the minimal cycle bases of the powers (iterated products) of graphs. In the limit only triangles and squares play a role.

Suggested Citation

  • Wilfried Imrich & Peter F. Stadler, 2001. "Minimum Cycle Bases of Product Graphs," Working Papers 01-08-044, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:01-08-044
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    References listed on IDEAS

    as
    1. Josef Leydold & Peter F. Stadler, 1998. "Minimal Cycle Bases of Outerplanar Graphs," Working Papers 98-01-011, Santa Fe Institute.
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