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arXiv · 1308.6433

Detecting wheels

Emilie Diot·Sébastien Tavenas·Nicolas Trotignon
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Abstract

A \emph{wheel} is a graph made of a cycle of length at least~4 together with a vertex that has at least three neighbors in the cycle. We prove that the problem whose instance is a graph $G$ and whose question is "does $G$ contains a wheel as an induced subgraph" is NP-complete. We also settle the complexity of several similar problems.

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Emilie Diot, Sébastien Tavenas, Nicolas Trotignon. 2013-08-29. Detecting wheels. https://doi.org/10.2298/aadm131128023d

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