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Linear-time recognition of circular-arc graphs
Author(s) -
R.M. McConnell
Publication year - 2001
Publication title -
proceedings 42nd ieee symposium on foundations of computer science
Language(s) - English
Resource type - Conference proceedings
pISSN - 1552-5244
DOI - 10.1109/sfcs.2001.959913
Subject(s) - computing and processing , communication, networking and broadcast technologies
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 the corresponding arcs intersect. We give a linear time bound 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.

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