## Abstract

This paper considers compact fault-tolerant routing schemes for weighted general graphs, namely, routing schemes that avoid a set of failed (or forbidden) edges. We present a compact routing scheme capable of handling multiple edge failures. Assume a source node s contains a message M designated to a destination target t and assume a set F of edges crashes (unknown to s). Our scheme routes the message to t (provided that s and t are still connected in G\F) over a path whose length is proportional to the distance between s and t in G\F, to |F|^{3} and to some poly-log factor. The routing table required at a node v is of size proportional to the degree of v in G and some poly-log factor. This improves on the previously known fault-tolerant compact routing scheme for general graphs, which was capable of overcoming at most 2 edge failures.

Original language | English |
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Pages (from-to) | 36-44 |

Number of pages | 9 |

Journal | Information and Computation |

Volume | 222 |

DOIs | |

State | Published - Jan 2013 |

Externally published | Yes |

## Keywords

- Compact routing
- Fault-tolerance
- Forbidden sets