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Titel:
Minimum Cycle Bases of Product Graphs
Author(s):
Wilfried Imrich and
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.
Keywords:
Cartesian graph product, strong graph product, minimal cycle basis.
AMS Subject Classification: 05C38 [paths and cycles]
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