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Lemma: For any two isomorphic graphs G and G , if G has a circuit of length k then G also has a circuit of
Lemma: For any two isomorphic graphs G and G if G has a circuit of length k then G also has a circuit of length k More specifically, if
p: VG VG
and
q: EG EG
are the onetoone correspondences that preserve the edgeendpoint functions of G and G and if
C veve ek vk
is a circuit of length k in G then
C pvqepvqe qek pvk
is a circuit of length k in G
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