Linear-Time Recognition of Circular-Arc Graphs1
نویسنده
چکیده
A graph G is a circular-arc graph if it is the intersection graph of a set of arcs on a circle. That is, there is one arc for each vertex of G, and two vertices are adjacent in G if and only if the corresponding arcs intersect. We give a linear-time algorithm for recognizing this class of graphs. When G is a member of the class, the algorithm gives a certificate in the form of a set of arcs that realize it.
منابع مشابه
Recognition of circular-arc graphs and some subclasses
In this work we present three new recognition algorithms for circular-arc graphs and for two subclasses of this graph class. We give a linear-time recognition algorithm for circular-arc graphs based on the algorithm of Eschen and Spinrad [ES93, Esc97]. Our algorithm is simpler than the earlier linear-time recognition algorithm of McConnell [McC03], which is the only linear time recognition algo...
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Circular graphs are intersection graphs of arcs on a circle. These graphs are reported to have been studied since 1964, and they have been receiving considerable attention since a series of papers by Tucker in the 1970s. Various subclasses of circular-arc graphs have also been studied. Among these are the proper circular-arc graphs, unit circular-arc graphs, Helly circular-arc graphs and co-bip...
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A circular-arc modelM = (C,A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, and if some point of C is not covered by any arc then M is an interval model. A (proper) (interval) circulararc graph is the intersection graph of a (proper) (interval) circular-arc model. Circular-arc graphs and their subclasses have ...
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تاریخ انتشار 2003