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2007

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The Roberts characterization of proper and unit interval graphs

13 years 4 months ago

The Roberts characterization of proper and unit interval graphs

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In this note, a constructive proof is given that the classes of proper interval graphs and unit interval graphs coincide, a result originally established by Fred S. Roberts. Additionally, the proof yields a linear-time and space algorithm to compute a unit interval representation, given a proper interval graph as input. Key words: proper interval graph, unit interval graph, constructive proof, eﬃcient representation

Frédéric Gardi

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DM 2007 | Interval Graph | Proper Interval Graph | Unit Interval Graph |

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2007
Where	DM
Authors	Frédéric Gardi

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