### 摘要

In this paper, we present an ()(l) time algorithm to solve the minimum coloring problem defined on a set of intervals, which is also called the channel assignment problem. This problem has not been solved in O(1) time before, even on the idealistic CRCW PRAM model. For large-sized problems, it is desirable to have fast hardware solutions. Our algorithm is based on the processor arrays with a reconfigurable bus system (abbreviated to PARBS) that consists of a processor array and a reconfigurable bus system. In order to solve this problem with constant time complexity, we first transform the “left-edge” channel assignment algorithm to the parenthesis-matching problem. Based on this novel scheme, we are able to explore constant-time parallel algorithms to solve the minimum coloring problem for n intervals, which is also called the channel assignment problem, on a PARBS with ()(n2) processors.

原文 | 英語 |
---|---|

頁（從 - 到） | 884-890 |

頁數 | 7 |

期刊 | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems |

卷 | 13 |

發行號 | 7 |

DOIs | |

出版狀態 | 已發佈 - 1994 七月 |

### 指紋

### ASJC Scopus subject areas

- Software
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering