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arxiv: 1211.5874 · v1 · pith:OIGSRSIRnew · submitted 2012-11-26 · 🧮 math.CO · cs.DM

Closed graphs are proper interval graphs

classification 🧮 math.CO cs.DM
keywords closedgraphgraphsintervalproperalgorithmsconsequenceevery
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In this note we prove that every closed graph $G$ is up to isomorphism a proper interval graph. As a consequence we obtain that there exist linear-time algorithms for closed graph recognition.

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