Article ID Journal Published Year Pages File Type
4949556 Discrete Applied Mathematics 2017 9 Pages PDF
Abstract
In this paper, we have shown that a graph is a circular arc graph if and only if the corresponding symmetric digraph with loops is a circular arc digraph. We characterize circular arc digraphs and circular arc graphs using circular ordering of their edges. We also characterize a circular arc graph as a union of an interval graph and a threshold graph. Finally, we characterize proper interval bigraphs and proper circular arc bigraphs using two linear orderings of their vertex set.
Keywords
Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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