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Displaying similar documents to “A short proof of a theorem of Kano and Yu on factors in regular graphs.”

Splitting Cubic Circle Graphs

Lorenzo Traldi (2016)

Discussiones Mathematicae Graph Theory

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We show that every 3-regular circle graph has at least two pairs of twin vertices; consequently no such graph is prime with respect to the split decomposition. We also deduce that up to isomorphism, K4 and K3,3 are the only 3-connected, 3-regular circle graphs.