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Minimum Cycle Bases of Product Graphs

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  • Wilfried Imrich
  • Peter F. Stadler
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    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.

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    Bibliographic Info

    Paper provided by Santa Fe Institute in its series Working Papers with number 01-08-044.

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    Date of creation: Aug 2001
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    Handle: RePEc:wop:safiwp:01-08-044

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    Related research

    Keywords: Cartesian graph product; strong graph product minimal cycle basis;

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    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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