### Abstract

We consider the problem of compact routing with slack in networks of low doubling dimension. Namely, we seek name-independent routing schemes with (1+) stretch and polylogarithmic storage at each node: since existing lower bound precludes such a scheme, we relax our guarantees to allow for (i) a small fraction of nodes to have large storage, say size of O(n log n) bits, or (ii) a small fraction of source-destination pairs to have larger, but still constant, stretch. In this paper, given any constant (0,1), any (1/ polylog n) and any connected edge-weighted undirected graph G with doubling dimension α O(log log n) and arbitrary node names, we present 1. a (1+)-stretch name-independent routing scheme for G with polylogarithmic packet header size, and with (1-)n nodes storing polylogarithmic size routing tables each and the remaining n nodes storing O(nlog n)-bit routing tables each. 2. a name-independent routing scheme for G with polylogarithmic storage and packet header size, and with stretch (1+) for (1-α n source nodes and (9+) for the remaining α n source nodes.. These results are to be contrasted with our lower bound from PODC 2006, where we showed that stretch 9 is asymptotically optimal for name-independent compact routing schemes in networks of constant doubling dimension.

Original language | English (US) |
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Title of host publication | PODC'07 |

Subtitle of host publication | Proceedings of the 26th Annual ACM Symposium on Principles of Distributed Computing |

Pages | 71-80 |

Number of pages | 10 |

DOIs | |

State | Published - Dec 14 2007 |

Event | PODC'07: 26th Annual ACM Symposium on Principles of Distributed Computing - Portland, OR, United States Duration: Aug 12 2007 → Aug 15 2007 |

### Publication series

Name | Proceedings of the Annual ACM Symposium on Principles of Distributed Computing |
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### Other

Other | PODC'07: 26th Annual ACM Symposium on Principles of Distributed Computing |
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Country | United States |

City | Portland, OR |

Period | 8/12/07 → 8/15/07 |

### Keywords

- Compact routing
- Doubling dimension
- Name-indpendent

### ASJC Scopus subject areas

- Software
- Hardware and Architecture
- Computer Networks and Communications

## Cite this

*PODC'07: Proceedings of the 26th Annual ACM Symposium on Principles of Distributed Computing*(pp. 71-80). (Proceedings of the Annual ACM Symposium on Principles of Distributed Computing). https://doi.org/10.1145/1281100.1281113