### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 884-890 |

Number of pages | 7 |

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

Volume | 13 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1994 Jan 1 |

### Fingerprint

### Keywords

- Complexity
- channel assignment problem
- computation model
- minimum-coloring problem
- parallel processing
- processor array
- reconfigurable bus system

### ASJC Scopus subject areas

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

### Cite this

**Constant-Time Algorithms for the Channel Assignment Problem on Processor Arrays With Reconfigurable Bus Systems.** / Lin, Shun-Shii.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Constant-Time Algorithms for the Channel Assignment Problem on Processor Arrays With Reconfigurable Bus Systems

AU - Lin, Shun-Shii

PY - 1994/1/1

Y1 - 1994/1/1

N2 - 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.

AB - 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.

KW - Complexity

KW - channel assignment problem

KW - computation model

KW - minimum-coloring problem

KW - parallel processing

KW - processor array

KW - reconfigurable bus system

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U2 - 10.1109/43.293945

DO - 10.1109/43.293945

M3 - Article

VL - 13

SP - 884

EP - 890

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

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

SN - 0278-0070

IS - 7

ER -