• Corpus ID: 973043

Counting non-isomorphic maximal independent sets of the n-cycle graph

  title={Counting non-isomorphic maximal independent sets of the n-cycle graph},
  author={Raymond Bisdorff and Jean-Luc Marichal},
The number of maximal independent sets of the n-cycle graph Cn is known to be the nth term of the Perrin sequence. The action of the automorphism group of Cn on the family of these maximal independent sets partitions this family into disjoint orbits, which represent the non-isomorphic (i.e., defined up to a rotation and a reflection) maximal independent sets. We provide exact formulas for the total number of orbits and the number of orbits having a given number of isomorphic representatives. We… 

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Mathematics Subject Classification: Primary 05C69; Secondary 05C38
  • Mathematics Subject Classification: Primary 05C69; Secondary 05C38
  • 1155