### Abstract

Two models for the Capacitated Multicast Routing Problem are considered, which are the Multicast k-Path Routing and the Multicast k-Tree Routing. Under these models, two improved approximation algorithms are presented, which have worst case performance ratios of 3 and (2 + ρ), respectively. Here ρ denotes the best approximation ratio for the Steiner Minimum Tree problem, and it is about 1.55 at the writing of the paper. The two approximation algorithms improve upon the previous best ones having performance ratios of 4 and (2.4 + ρ), respectively. The designing techniques developed in the paper could be applicable to other similar networking problems.

Original language | English (US) |
---|---|

Title of host publication | Lecture Notes in Computer Science |

Editors | L. Wang |

Pages | 136-145 |

Number of pages | 10 |

Volume | 3595 |

State | Published - 2005 |

Event | 11th Annual International Conference on Computing and Combinatorics, COCOON 2005 - Kunming, China Duration: Aug 16 2005 → Aug 29 2005 |

### Other

Other | 11th Annual International Conference on Computing and Combinatorics, COCOON 2005 |
---|---|

Country | China |

City | Kunming |

Period | 8/16/05 → 8/29/05 |

### Fingerprint

### Keywords

- Approximation Algorithm
- Capacitated Multicast Routing
- Steiner Minimum Tree
- Tree Partitioning

### ASJC Scopus subject areas

- Computer Science (miscellaneous)

### Cite this

*Lecture Notes in Computer Science*(Vol. 3595, pp. 136-145)

**Improved approximation algorithms for the Capacitated Multicast Routing Problem.** / Cai, Zhipeng; Lin, Guohui; Xue, Guoliang.

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

*Lecture Notes in Computer Science.*vol. 3595, pp. 136-145, 11th Annual International Conference on Computing and Combinatorics, COCOON 2005, Kunming, China, 8/16/05.

}

TY - GEN

T1 - Improved approximation algorithms for the Capacitated Multicast Routing Problem

AU - Cai, Zhipeng

AU - Lin, Guohui

AU - Xue, Guoliang

PY - 2005

Y1 - 2005

N2 - Two models for the Capacitated Multicast Routing Problem are considered, which are the Multicast k-Path Routing and the Multicast k-Tree Routing. Under these models, two improved approximation algorithms are presented, which have worst case performance ratios of 3 and (2 + ρ), respectively. Here ρ denotes the best approximation ratio for the Steiner Minimum Tree problem, and it is about 1.55 at the writing of the paper. The two approximation algorithms improve upon the previous best ones having performance ratios of 4 and (2.4 + ρ), respectively. The designing techniques developed in the paper could be applicable to other similar networking problems.

AB - Two models for the Capacitated Multicast Routing Problem are considered, which are the Multicast k-Path Routing and the Multicast k-Tree Routing. Under these models, two improved approximation algorithms are presented, which have worst case performance ratios of 3 and (2 + ρ), respectively. Here ρ denotes the best approximation ratio for the Steiner Minimum Tree problem, and it is about 1.55 at the writing of the paper. The two approximation algorithms improve upon the previous best ones having performance ratios of 4 and (2.4 + ρ), respectively. The designing techniques developed in the paper could be applicable to other similar networking problems.

KW - Approximation Algorithm

KW - Capacitated Multicast Routing

KW - Steiner Minimum Tree

KW - Tree Partitioning

UR - http://www.scopus.com/inward/record.url?scp=26844457943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26844457943&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:26844457943

VL - 3595

SP - 136

EP - 145

BT - Lecture Notes in Computer Science

A2 - Wang, L.

ER -