### Abstract

In this paper, we extend the 1-Steiner idea of Georgakopoulos and Papadimitriou to the Steiner tree problem in lambda-3 geometry plane. Our extension to the lambda-3 geometry plane and that of Kahng and Robins to the rectilinear plane are similar in principle, but different in many nontrivial details. After presenting an efficient algorithm for solving the 1-Steiner tree problem, we apply the iterated 1-Steiner heuristic to compute approximations to the Steiner minimum tree problem in lambda-3 geometry plane. Computational results on standard benchmarks show that our algorithm compares favorably with previously published heuristics.

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

Volume | 6 |

State | Published - 1999 |

Externally published | Yes |

Event | Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99 - Orlando, FL, USA Duration: May 30 1999 → Jun 2 1999 |

### Other

Other | Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99 |
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City | Orlando, FL, USA |

Period | 5/30/99 → 6/2/99 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Proceedings - IEEE International Symposium on Circuits and Systems*(Vol. 6)

**1-Steiner tree problem in lambda-3 geometry plane.** / Lin, Guo Hui; Thurber, Andrew P.; Xue, Guoliang.

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

*Proceedings - IEEE International Symposium on Circuits and Systems.*vol. 6, Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99, Orlando, FL, USA, 5/30/99.

}

TY - CHAP

T1 - 1-Steiner tree problem in lambda-3 geometry plane

AU - Lin, Guo Hui

AU - Thurber, Andrew P.

AU - Xue, Guoliang

PY - 1999

Y1 - 1999

N2 - In this paper, we extend the 1-Steiner idea of Georgakopoulos and Papadimitriou to the Steiner tree problem in lambda-3 geometry plane. Our extension to the lambda-3 geometry plane and that of Kahng and Robins to the rectilinear plane are similar in principle, but different in many nontrivial details. After presenting an efficient algorithm for solving the 1-Steiner tree problem, we apply the iterated 1-Steiner heuristic to compute approximations to the Steiner minimum tree problem in lambda-3 geometry plane. Computational results on standard benchmarks show that our algorithm compares favorably with previously published heuristics.

AB - In this paper, we extend the 1-Steiner idea of Georgakopoulos and Papadimitriou to the Steiner tree problem in lambda-3 geometry plane. Our extension to the lambda-3 geometry plane and that of Kahng and Robins to the rectilinear plane are similar in principle, but different in many nontrivial details. After presenting an efficient algorithm for solving the 1-Steiner tree problem, we apply the iterated 1-Steiner heuristic to compute approximations to the Steiner minimum tree problem in lambda-3 geometry plane. Computational results on standard benchmarks show that our algorithm compares favorably with previously published heuristics.

UR - http://www.scopus.com/inward/record.url?scp=0032633637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032633637&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0032633637

VL - 6

BT - Proceedings - IEEE International Symposium on Circuits and Systems

ER -