By Irene Finocchi, Fabrizio Grandoni, Giuseppe F. Italiano (auth.), Gerth Stølting Brodal, Stefano Leonardi (eds.)

ISBN-10: 3540291180

ISBN-13: 9783540291183

ISBN-10: 3540319514

ISBN-13: 9783540319511

This publication constitutes the refereed lawsuits of the thirteenth Annual eu Symposium on Algorithms, ESA 2005, held in Palma de Mallorca, Spain, in September 2005 within the context of the mixed convention ALGO 2005.

The seventy five revised complete papers provided including abstracts of three invited lectures have been conscientiously reviewed and chosen from 244 submissions. The papers handle all present concerns in algorithmics achieving from layout and mathematical matters over real-world functions in a number of fields as much as engineering and research of algorithms.

**Read or Download Algorithms – ESA 2005: 13th Annual European Symposium, Palma de Mallorca, Spain, October 3-6, 2005. Proceedings PDF**

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**Extra info for Algorithms – ESA 2005: 13th Annual European Symposium, Palma de Mallorca, Spain, October 3-6, 2005. Proceedings**

**Example text**

A node v is identiﬁed by its position (vx , vy ) ∈ N × N in the mesh. There is no restriction on the size of the network, because we analyze time and traﬃc with respect to the position of the given start and target node in the network. We will see that the major impact on the eﬃciency of the routing algorithm is not given by the size of the network. We assume a synchronized communication: Each message transmission to a neighboring node takes one time step. For multi-hop communication we assume the messages to be transported in a store-and-forward fashion.

Berman, A. Fiat, and P. Yan. Online navigation in a room. Journal of Algorithms, 17(3):319–341, 1994. 4. M. A. Bender and D. K. Slonim. The power of team exploration: Two robots can learn unlabeled directed graphs. In Proceedings of the 35th Symposium on Foundations of Computer Science (FOCS’94), pages 75–85, 1994. 5. P. Berman, A. Blum, A. Fiat, H. Karloﬀ, A. Ros´en, and M. Saks. Randomized robot navigation algorithms. In Proceedings of the 7th ACM-SIAM Symposium on Discrete Algorithms (SODA’96), pages 75–84, 1996.

For this assumption, we have to pay a penalty of a factor of d2 in the competitive ratio. Basically, the algorithm must be restarted d times at a diﬀerent start node, each time with a penalty factor of d for not knowing a strongly connected subgraph, before we can guarantee that our known subgraph is strongly connected. We will also make this assumption. To be more precise, we assume that in the beginning we know an initial cycle C0 containing the start node s, and we can reach s from any token that we may discover.

### Algorithms – ESA 2005: 13th Annual European Symposium, Palma de Mallorca, Spain, October 3-6, 2005. Proceedings by Irene Finocchi, Fabrizio Grandoni, Giuseppe F. Italiano (auth.), Gerth Stølting Brodal, Stefano Leonardi (eds.)

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