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

ISBN-10: 3540200649

ISBN-13: 9783540200642

ISBN-10: 3540396586

ISBN-13: 9783540396581

This e-book constitutes the refereed lawsuits of the eleventh Annual ecu Symposium on Algorithms, ESA 2003, held in Budapest, Hungary, in September 2003.

The sixty six revised complete papers awarded have been conscientiously reviewed and chosen from a hundred sixty five submissions. The scope of the papers spans the full diversity of algorithmics from layout and mathematical research concerns to real-world functions, 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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As in the 1D case, an interval σv is associated with each node v, and this interval is partitioned into B 1/3 vertical slabs by its children. A rectangle γ is stored at an internal node v of T if γ ⊆ σv but γ σvi for any child vi of v. Each internal node v of T stores a multi-slab structure and one left- and right-slab structure for each slab. A multi-slab structure stores rectangles that span slabs and the left-slab (right-slab) structures of the i-th slab σvi at v stores rectangles whose left (right) edges lie in σvi .

That can be colored with 2 colors and that go through all the n links in R. These demands are then colored with the smallest available two colors (that have not been used for coloring any other demands). Demand d0 is an uncolored demand that covers the largest number of links in R. Demand d1 is an uncolored demand that overlaps with d0 and covers the largest number of uncovered links in R, in the clockwise direction. Demand d2 overlaps with d1 in R and covers the largest number of uncovered links in R and so on until all links are covered by the selected demands.

Thus the demands [0, Ai ] for i = 1, . . , t and [9 − ck , 13] for k = 1, . . , t must get colors from C1 . Since each of the demands [1, Bj ] for j = 1, . . , t overlaps with each of the demands [0, Ai ] for i = 1, . . , t the demands [1, Bj ] for j = 1, . . , t must get colors from C2 . Since there are at most 2t2 + 3t + 2 links in the interval [2, 11] and there are only 3 color classes, the cost contribution of the links in this interval is at most 3(2t2 + 3t + 2). Each of the the links in the interval [2, 8] has a load of 2t2 = |C1 | + |C2 | + |C3 | which is the maximum number of colors available on the system.

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Algorithms - ESA 2003: 11th Annual European Symposium, Budapest, Hungary, September 16-19, 2003. Proceedings by Bernard Chazelle (auth.), Giuseppe Di Battista, Uri Zwick (eds.)


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