PARALLEL RECOGNITION ALGORITHMS FOR GRAPHS WITH RESTRICTED NEIGHBOURHOODS

Author:

DE AGOSTINO SERGIO1,PETRESCHI ROSSELLA1

Affiliation:

1. Department of Mathematics University “La Sapienza” Piazzale Aldo Moro 2 00185 Rome, Italy

Abstract

In this paper three parallel recognition algorithms for threshold, matrogenic and box-threshold graphs, respectively, are given. These classes of graphs are inclusionwise comparable and depend only on their degree sequences. The algorithms run in O(log n) parallel time on a PRAM-EREW model of computation and require O(n/log n) processors when the degree sequence, ordered in decreasing fashion, is given as input.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Parallel algorithms for P4-comparability graphs;Journal of Algorithms;2004-04

2. Recognizing cographs and threshold graphs through a classification of their edges;Information Processing Letters;2000-05

3. Threshold graphs and synchronization protocols;Combinatorics and Computer Science;1996

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