Parallel decomposition of generalized series-parallel graphs

Chin Wen Ho, Sun Yuan Hsieh, Gen Huey Chen

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

Generalized series-parallel (GSP) graphs belong to the class of decomposable graphs which can be represented by their decomposition trees. Given a decomposition tree of a GSP graph, there are many graph-theoretic problems which can be solved efficiently. An efficient parallel algorithm for constructing a decomposition tree of a given GSP graph is presented. It takes O(log n) time with C(m, n) processors on a CRCW PRAM, where C(m, n) is the number of processors required to find connected components of a graph with m edges and n vertices in logarithmic time. Based on our algorithmic results, we also derive some properties for GSP graphs, which may be of interest in and of themselves.

原文???core.languages.en_GB???
頁(從 - 到)407-417
頁數11
期刊Journal of Information Science and Engineering
15
發行號3
出版狀態已出版 - 5月 1999

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