Even and odd pairs in comparability and in P4-comparability graphs

Even and odd pairs in comparability and in P4-comparability graphs

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Article ID: iaor20001713
Country: Netherlands
Volume: 91
Issue: 1/3
Start Page Number: 293
End Page Number: 297
Publication Date: Jan 1999
Journal: Discrete Applied Mathematics
Authors: , , ,
Abstract:

We characterize even and odd pairs in comparability and in P4-comparability graphs. The characterizations lead to simple algorithms for deciding whether a given pair of vertices forms an even or odd pair in these classes of graphs. The complexities of the proposed algorithms are O(n + m) for comparability graphs and O(n2m) for P4-comparability graphs. The former represents an improvement over a recent algorithm of complexity O(nm).

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