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arXiv · 1504.01143

Splitting cubic circle graphs

Lorenzo Traldi
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Abstract

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, K_4 and K_{3,3} are the only 3-connected, 3-regular circle graphs.

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Lorenzo Traldi. 2015-04-05. Splitting cubic circle graphs. https://doi.org/10.7151/dmgt.1894

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