Counting endpoint sequences for interval orders and interval graphs (Q685648)

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scientific article; zbMATH DE number 423562
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Counting endpoint sequences for interval orders and interval graphs
scientific article; zbMATH DE number 423562

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    Counting endpoint sequences for interval orders and interval graphs (English)
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    24 October 1993
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    We design and analyze efficient algorithms for counting the number of endpoint sequences representing a given interval graph or interval order. The results are based on the construction of a suitable tree data structure to represent multiple solutions. We describe the relation of our method to \(PQ\)-trees and \(MPQ\)-trees. Finally, we discuss the connection of these structures with temporal reasoning.
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    \(PQ\)-trees
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    \(MPQ\)-trees
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    endpoint sequences
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    interval graph
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    interval
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    temporal reasoning
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