On regular factors in regular graphs with small radius.
Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Ján Plesník (1974)
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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.