Paths in interval graphs and circular arc graphs (Q1210553)
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scientific article; zbMATH DE number 179588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paths in interval graphs and circular arc graphs |
scientific article; zbMATH DE number 179588 |
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Paths in interval graphs and circular arc graphs (English)
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30 August 1993
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Interval graphs and circular arc graphs are intersection graphs of intervals on a line resp. of arcs on a circle. We give polynomial-time algorithms for several path cover problems in such graphs, e.g. for finding a Hamiltonian path in a circular arc graph. Some seemingly similar problems remain open here: Can one find in polynomial time (1) a Hamiltonian cycle in a circular arc graph, (2) a Hamiltonian path with prescribed start vertex in an interval graph?
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circular arc graphs
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intersection graphs
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polynomial-time algorithms
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Hamiltonian path
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0.9289887
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0.92256624
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0.9136256
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0.89830697
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