Geodesic
Enumeration of I-graphs: Burnside does it again
Ars Mathematica Contemporanea, Tome 2 (2009) no. 2, pp. 241-262.

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We give explicit and efficiently computable formulas for the number of isomorphism classes of I-graphs, connected I-graphs, bipartite connected I-graphs, generalized Petersen graphs, and bipartite generalized Petersen graphs. The tool that we use is the well-known Cauchy-Frobenius-Burnside lemma.
DOI : 10.26493/1855-3974.113.3dc
Keywords: I-graphs, generalized Petersen graphs, Cauchy-Frobenius-Burnside lemma, arithmetical functions 
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Marko Petkovšek; Helena Zakrajšek. Enumeration of I-graphs: Burnside does it again. Ars Mathematica Contemporanea, Tome 2 (2009) no. 2, pp. 241-262. doi : 10.26493/1855-3974.113.3dc. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.113.3dc/

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