Algorithms - ESA 2003: 11th Annual European Symposium, by Bernard Chazelle (auth.), Giuseppe Di Battista, Uri Zwick

By Bernard Chazelle (auth.), Giuseppe Di Battista, Uri Zwick (eds.)

This booklet constitutes the refereed complaints of the eleventh Annual ecu Symposium on Algorithms, ESA 2003, held in Budapest, Hungary, in September 2003.

The sixty six revised complete papers provided have been conscientiously reviewed and chosen from one hundred sixty five submissions. The scope of the papers spans the full variety of algorithmics from layout and mathematical research concerns to real-world purposes, engineering, and experimental research of algorithms.

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Extra resources for Algorithms - ESA 2003: 11th Annual European Symposium, Budapest, Hungary, September 16-19, 2003. Proceedings

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Thus, the directly connected clients exactly pay for their own connection costs and all of the facility costs. The trick is, each client j that is not directly connected must still be connected to some facility i. We obtain a 3-approximation algorithm if we can guarantee that cij ≤ 3vj . Phase II proceeds as follows. We construct a graph G with vertices S0 , and include an edge between i, k ∈ S0 if there exists some client j such that wij , wkj > 0. We must select S to be an independent set in G.

From I1 we first create a new instance I1 of the circular arc graph coloring problem by cutting each arc into multiple arc collections, each of length less than a half-circle, such that the points at which the arcs are cut are distinct and they are not the end points of any of the existing arcs. The demands for I2 are created, one for each arc of I1 , such that the end points of the demands are the end points of the arcs. Links are placed uniformly on the line system. Any solution to I2 must route all demands in the direction of the arc and thus yield a l-coloring for I1 and hence for I1 .

We study a generalized coloring and routing problem for interval and circular graphs that is motivated by design of optical line systems. In this problem we are interested in finding a coloring and routing of “demands” of minimum total cost where the total cost is obtained by accumulating the cost incurred at certain “links” in the graph. The colors are partitioned in sets and the sets themselves are ordered so that colors in higher sets cost more. The cost of a “link” in a coloring is equal to the cost of the most expensive set such that a demand going through the link is colored with a color in this set.

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