Discrete Mathematics & Theoretical Computer Science
Volume 6 n° 2 (2004), pp. 483-496
| author: | Hon-Chan Chen |
|---|---|
| title: | Optimal Sequential and Parallel Algorithms for Cut Vertices and Bridges on Trapezoid Graphs |
| keywords: | cut vertex, bridge, trapezoid graph, algorithm |
| abstract: | Let G be a graph. A component of G is a maximal connected subgraph in G. A vertex v is a cut vertex of G if k(G-v) > k(G), where k(G) is the number of components in G. Similarly, an edge e is a bridge of G if k(G-e) > k(G). In this paper, we will propose new O(n) algorithms for finding cut vertices and bridges of a trapezoid graph, assuming the trapezoid diagram is given. Our algorithms can be easily parallelized on the EREW PRAM computational model so that cut vertices and bridges can be found in O(log n) time by using O(n / log n) processors. If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |
| reference: | Hon-Chan Chen (2004), Optimal Sequential and Parallel Algorithms for Cut Vertices and Bridges on Trapezoid Graphs, Discrete Mathematics and Theoretical Computer Science 6, pp. 483-496 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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Automatically produced on Sat Nov 20 22:46:45 CET 2004 by falk