Artificially constructed Steiner tree problems.

The files can be found in the download section.

Name | |V| | |E| | |T| | DC | Opt |
---|---|---|---|---|---|

antiwheel5 | 10 | 15 | 5 | Ps | 7 |

design432 | 8 | 20 | 4 | Ps | 9 |

oddcycle3 | 6 | 9 | 3 | Ps | 4 |

oddwheel3 | 7 | 9 | 4 | Ps | 5 |

se03 | 13 | 21 | 4 | Ps | 12 |

w13c29 | 783 | 2262 | 406 | NP? | 507 |

w23c23 | 1081 | 3174 | 552 | NP? | 689 |

w3c571 | 3997 | 10278 | 2284 | NP? | 2854 |

The column **DC** classifies the difficulty of the instance.

- L
- Solvable by usage of local preprocessing. Typical examples are the SD-Test, BD-n Tests and FST computations. Neither a global upper nor lower bound needs to be computed.
- P
- Solvable by polynomial time algorithms, like dual ascent in combination with primal heuristic, a integral LP formulation or advanced preprocessing like reduced cost criteria or the RCR-Test.
- NP
- No polynomial time algorithm is known. Use of an exponential time enumeration sceme like Branch-and-Bound is neccessary.

The letter after class gives an impression how long it takes to solve
the problem using state-of-the-art soft- and hardware.
**s**ecounds means less than a minute (this includes
instances which can be solved in fractions of a second).
**m**inutes means less than an hour. **h**ours is less than a
day and **d**ays is less than a week. **w**eeks mean it takes
really a long time to solve this instance.
**?** means the instance is not solved or the time is not known.

If the number in the **Opt** column is written in *italics*
the optimum is not known. The number given is the best know upper bound.

Last Update : 2015/02/11 11:57:20 $ by Thorsten Koch

© 2001 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)

URL: http://www.zib.de