By Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)

ISBN-10: 3540230254

ISBN-13: 9783540230250

ISBN-10: 3540301402

ISBN-13: 9783540301400

This booklet constitutes the refereed lawsuits of the twelfth Annual eu Symposium on Algorithms, ESA 2004, held in Bergen, Norway, in September 2004.

The 70 revised complete papers awarded have been conscientiously reviewed from 208 submissions. The scope of the papers spans the total diversity of algorithmics from layout and mathematical matters to real-world functions in a variety of fields, and engineering and research of algorithms.

**Read or Download Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings PDF**

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**Extra info for Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings**

**Example text**

In fact, even for a very restricted case on a 3-regular Hamiltonian network, no algorithm can guarantee a constant approximation better than 2. We then present a simple algorithm that guarantees an O(log n)- and O(log K)-approximation for arbitrary networks, where n is the number of nodes in the network and K is the number of demands. 2 we focus on the ring topology. Rings are of particular interest since often the underlying infrastructure is a ring for metro-area networks. We give a 3/2-approximation.

G. [22,3]. The model for VPL diﬀers from ours in several aspects. For example, our line systems form a partition of the network links whereas virtual paths are allowed to overlap. Also, our demand routes can enter and depart from any point along a line system whereas demand routes for VPL have to be concatenations of entire virtual paths. This makes a huge diﬀerence in the model, since the extra constraint that all routes must be concatenations of whole line systems can increase the optimal solution by a factor of K.

A routing path of a demand consists of one or more transparent sections, where each transparent section is the intersection of the routing path and a line system. It is worth pointing out here that if multiple units of demand switch from one line system to another, each demand unit requires its individual O-E-O converter. Therefore, our objective is minimizing the total number of transparent sections summed over all demands, which is equivalent to minimizing the network equipment cost and minimizing O-E-O conversions.

### Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings by Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)

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