## 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??? |
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頁（從 - 到） | 407-417 |

頁數 | 11 |

期刊 | Journal of Information Science and Engineering |

卷 | 15 |

發行號 | 3 |

出版狀態 | 已出版 - 5月 1999 |