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String graphs. II: Recognizing string graphs is NP-hard - MaRDI portal

String graphs. II: Recognizing string graphs is NP-hard (Q1112845)

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scientific article; zbMATH DE number 4079477
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String graphs. II: Recognizing string graphs is NP-hard
scientific article; zbMATH DE number 4079477

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    String graphs. II: Recognizing string graphs is NP-hard (English)
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    1991
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    A graph is called a string graph if it is isomorphic to the intersection graph of a system of Jordan curves in the plane. It has been a long standing open problem whether string graphs can be recognized in polynomial time. Here we prove that recognizing string graphs and some related problems are NP-hard.
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    NP-hardness
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    graph recognition
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    string graph
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    intersection graph
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