### Abstract

A graph partitioning problem with application to VLSI layout is discussed. It has been shown that for a general graph the partitioning problem is NP-complete. It is also shown that the open problem suggested by K. J. Supowit (1987) is also NP-complete. An integer linear programming formulation for the graph partitioning problem is given. The problem can then be solved using one of the several methods for solving integer linear programming problems. A linear time algorithm for the case when the graph is a tree is given

Original language | English (US) |
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Title of host publication | Proceedings - IEEE International Symposium on Circuits and Systems |

Publisher | Publ by IEEE |

Pages | 2846-2849 |

Number of pages | 4 |

Volume | 5 |

State | Published - 1991 |

Event | 1991 IEEE International Symposium on Circuits and Systems Part 4 (of 5) - Singapore, Singapore Duration: Jun 11 1991 → Jun 14 1991 |

### Other

Other | 1991 IEEE International Symposium on Circuits and Systems Part 4 (of 5) |
---|---|

City | Singapore, Singapore |

Period | 6/11/91 → 6/14/91 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials

### Cite this

*Proceedings - IEEE International Symposium on Circuits and Systems*(Vol. 5, pp. 2846-2849). Publ by IEEE.

**On a graph partitioning problem with applications to VLSI layout.** / Sen, Arunabha; Deng, Haiyong; Guha, Sumanta.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - IEEE International Symposium on Circuits and Systems.*vol. 5, Publ by IEEE, pp. 2846-2849, 1991 IEEE International Symposium on Circuits and Systems Part 4 (of 5), Singapore, Singapore, 6/11/91.

}

TY - GEN

T1 - On a graph partitioning problem with applications to VLSI layout

AU - Sen, Arunabha

AU - Deng, Haiyong

AU - Guha, Sumanta

PY - 1991

Y1 - 1991

N2 - A graph partitioning problem with application to VLSI layout is discussed. It has been shown that for a general graph the partitioning problem is NP-complete. It is also shown that the open problem suggested by K. J. Supowit (1987) is also NP-complete. An integer linear programming formulation for the graph partitioning problem is given. The problem can then be solved using one of the several methods for solving integer linear programming problems. A linear time algorithm for the case when the graph is a tree is given

AB - A graph partitioning problem with application to VLSI layout is discussed. It has been shown that for a general graph the partitioning problem is NP-complete. It is also shown that the open problem suggested by K. J. Supowit (1987) is also NP-complete. An integer linear programming formulation for the graph partitioning problem is given. The problem can then be solved using one of the several methods for solving integer linear programming problems. A linear time algorithm for the case when the graph is a tree is given

UR - http://www.scopus.com/inward/record.url?scp=0026406240&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026406240&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026406240

VL - 5

SP - 2846

EP - 2849

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - Publ by IEEE

ER -