Parallel algorithms for P4-comparability graphs
نویسندگان
چکیده
منابع مشابه
Parallel algorithms for P4-comparability graphs
We consider two problems pertaining to P4-comparability graphs, namely, the problem of recognizing whether a simple undirected graph is a P4-comparability graph and the problem of producing an acyclic P4-transitive orientation of such a graph. Sequential algorithms for these problems have been presented by Hoàng and Reed and very recently by Raschle and Simon, and by Nikolopoulos and Palios. In...
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We consider two problems pertaining to P4-comparability graphs, namely, the problem of recognizing whether a simple undirected graph is a P4-comparability graph and the problem of producing an acyclic P4-transitive orientation of a P4-comparability graph. These problems have been considered by Hoàng and Reed who described O(n) and O(n)-time algorithms for their solution respectively, where n is...
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A graph is a P4-comparability graph if it admits an acyclic orientation of its edges which is transitive on every chordless path on four vertices. We give a characterization of P4-comparability graphs in terms of an auxiliary graph being bipartite. © 2006 Elsevier B.V. All rights reserved.
متن کاملOn the Recognition of P4-Comparability Graphs
We consider the problem of recognizing whether a simple undirected graph is a P4-comparability graph. This problem has been considered by Hoàng and Reed who described an O(n)-time algorithm for its solution, where n is the number of vertices of the given graph. Faster algorithms have recently been presented by Raschle and Simon and by Nikolopoulos and Palios; the time complexity of both algorit...
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We characterize even and odd pairs in comparability and in P 4-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(n 2 m) for P 4-comparability graphs. The former represents an improvement ov...
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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 2004
ISSN: 0196-6774
DOI: 10.1016/j.jalgor.2003.11.005