The complexity of domination problems in circle graphs (Q1209148)

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scientific article; zbMATH DE number 167439
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The complexity of domination problems in circle graphs
scientific article; zbMATH DE number 167439

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    The complexity of domination problems in circle graphs (English)
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    16 May 1993
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    Circle graphs are the intersection graphs of chords of a circle. It is shown that the problems of finding a minimum dominating set, a minimum connected dominating set and a minimum total dominating set are NP- complete for circle graphs. A polynomial time algorithm for finding a minimum cardinality dominating clique in a circle graph is presented.
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    complexity
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    domination
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    dominating set
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    NP-complete
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    polynomial time algorithm
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    dominating clique
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    circle graphs
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