### Abstract

We consider the weighted feedback vertex set problem for undirected graphs. It is shown that a generalized local ratio strategy leads to an efficient approximation with the performance guarantee of twice the optimal, improving the previous results for both weighted and unweighted cases. We further elaborate our approach to treat the case when graphs are of bounded degree, and show that it achieves even better performance, (formula presented), where ∆ is the maximum degree of graphs.

Original language | English (US) |
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Title of host publication | Algorithms and Computations - 6th International Symposium, ISAAC 1995, Proceedings |

Editors | Alistair Moffat, John Staples, Naoki Katoh, Peter Eades |

Publisher | Springer Verlag |

Pages | 142-151 |

Number of pages | 10 |

ISBN (Print) | 3540605738, 9783540605737 |

State | Published - Jan 1 1995 |

Event | 6th International Symposium on Algorithms and Computations, ISAAC 1995 - Cairns, Australia Duration: Dec 4 1995 → Dec 6 1995 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1004 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 6th International Symposium on Algorithms and Computations, ISAAC 1995 |
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Country | Australia |

City | Cairns |

Period | 12/4/95 → 12/6/95 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Algorithms and Computations - 6th International Symposium, ISAAC 1995, Proceedings*(pp. 142-151). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1004). Springer Verlag.

}

*Algorithms and Computations - 6th International Symposium, ISAAC 1995, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1004, Springer Verlag, pp. 142-151, 6th International Symposium on Algorithms and Computations, ISAAC 1995, Cairns, Australia, 12/4/95.

**Constant ratio approximations of the weighted feedback vertex set problem for undirected graphs.** / Bafna, Vineet; Berman, Piotr; Fujito, Toshihiro.

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

TY - GEN

T1 - Constant ratio approximations of the weighted feedback vertex set problem for undirected graphs

AU - Bafna, Vineet

AU - Berman, Piotr

AU - Fujito, Toshihiro

PY - 1995/1/1

Y1 - 1995/1/1

N2 - We consider the weighted feedback vertex set problem for undirected graphs. It is shown that a generalized local ratio strategy leads to an efficient approximation with the performance guarantee of twice the optimal, improving the previous results for both weighted and unweighted cases. We further elaborate our approach to treat the case when graphs are of bounded degree, and show that it achieves even better performance, (formula presented), where ∆ is the maximum degree of graphs.

AB - We consider the weighted feedback vertex set problem for undirected graphs. It is shown that a generalized local ratio strategy leads to an efficient approximation with the performance guarantee of twice the optimal, improving the previous results for both weighted and unweighted cases. We further elaborate our approach to treat the case when graphs are of bounded degree, and show that it achieves even better performance, (formula presented), where ∆ is the maximum degree of graphs.

UR - http://www.scopus.com/inward/record.url?scp=84955602886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955602886&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84955602886

SN - 3540605738

SN - 9783540605737

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 142

EP - 151

BT - Algorithms and Computations - 6th International Symposium, ISAAC 1995, Proceedings

A2 - Moffat, Alistair

A2 - Staples, John

A2 - Katoh, Naoki

A2 - Eades, Peter

PB - Springer Verlag

ER -