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    Efficient Enumeration of Maximal and Maximum Independent Sets of an Interval Graph and a Circular-Arc Graph.

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    No. of downloads: 1071

    Date
    1987
    Author
    Masuda, Sumio
    Nakajima, K.
    Kashiwabara, Toshinobu
    Fujisawa, Toshio
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    Abstract
    We present efficient algorithms for generating all maximal and all maximum independent sets of an interval graph and a circular- arc graph. When an interval graph is given in the form of a family of n intervals, the first and second algorithms produce all maximal and all maximum independent sets, respectively, in O(n DOT log n+ (the size of an output)) time. When a circular- arc graph is given in the form of a family of n arcs on a circle, the third algorithm generates all maximal independent sets in O(n log n+ (the size of an output)) time. In the same situation, the fourth algorithm enumerates all maximum independent aets in O(n^2+ (the size of an output)) time. The first three algorithms are optimal to within a constant factor.
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    http://hdl.handle.net/1903/4638
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