## 摘要

This paper presents an efficient linear-time sequential algorithm for constructing Hamiltonian paths between two given vertices in meshes with horizontal size m and vertical size n. The algorithm first partitions the given mesh into a number of submeshes in constant steps, and then constructs a Hamiltonian cycle or path in each submesh and combines them together to become a complete Hamiltonian path in mn steps. Our algorithm has improved the previous algorithm by reducing the number of partition steps from O(m + n) to only a constant. Moreover, we show that our algorithm can be optimally parallelized to obtain a constant-time parallel algorithm on the weakest parallel machine without need of inter-processor communication, while this cannot be achieved for the previous algorithm.

原文 | English |
---|---|

頁（從 - 到） | 1293-1305 |

頁數 | 13 |

期刊 | Parallel Computing |

卷 | 28 |

發行號 | 9 |

DOIs | |

出版狀態 | Published - 9月 2002 |

對外發佈 | 是 |