Discrete Mathematics & Theoretical Computer Science, Vol 6, No 2 (2004)

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DMTCS vol 6 no 2 (2004), pp. 483-496

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.

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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