Algorithm Theory – SWAT 2008: 11th Scandinavian Workshop on by Michael Mitzenmacher (auth.), Joachim Gudmundsson (eds.)

By Michael Mitzenmacher (auth.), Joachim Gudmundsson (eds.)

This publication constitutes the refereed complaints of the eleventh Scandinavian Workshop on set of rules concept, SWAT 2008, held in Gothenborg, Sweden, in July 2008.

The 36 revised complete papers awarded including 2 invited lectures have been conscientiously reviewed and chosen from 111 submissions. Papers have been solicited for unique examine on algorithms and information constructions in all components, together with yet no longer constrained to: approximation algorithms, computational biology, computational geometry, dispensed algorithms, external-memory algorithms, graph algorithms, on-line algorithms, optimization algorithms, parallel algorithms, randomized algorithms, string algorithms and algorithmic online game thought.

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Extra resources for Algorithm Theory – SWAT 2008: 11th Scandinavian Workshop on Algorithm Theory, Gothenburg, Sweden, July 2-4, 2008. Proceedings

Example text

It thus fits in between the leaves “abac” and “bcbcaba”. For more details see [9]. Searching each Patricia trie requires constant number of I/O to load it into memory, plus additional I/Os to do the sequential scan of the key associated with the leaf we reached. Therefore our structure as defined so far does not guarantee that the total number of I/Os is O(logB n + /B), where is the length of the string that we search. To further reduce the number of I/Os Ferragina and Grossi [9] used the leftmost and the rightmost strings in the subtree of a node v as keys at p(v).

531–540 (2004) 2. : New tight bounds on uniquely represented dictionaries. SIAM Journal of Computing 24(5), 1091–1103 (1995) 3. : Space-efficient dynamic orthogonal point location, segment intersection, and range reporting. In: Proc. SODA (2008) 4. : Strongly history-independent hashing with applications. In: Proc. FOCS, pp. 272–282 (2007) 5. : Uniquely represented data structures for computational geometry. Technical Report CMU-CS-08-115, Carnegie Mellon University (April 2008) 6. : Dynamic planar convex hull.

Blelloch, D. Golovin, and V. Vassilevska two dimensional case. The remaining cases with d ≥ 3 can be implemented using standard techniques [9] if treaps are used for the underlying hierarchical decomposition trees. The description will be deferred to the full paper. We will assume that the points have distinct coordinate values; thus, if (x1 , x2 ), (y1 , y2 ) ∈ P , then xi = yi for all i. ) We store P in a random treap T using the ordering on the first coordinate as our BST ordering. We additionally store P in a second random treap T using the ordering on the second coordinate as our BST ordering, and also store P in an ordered subsets instance D using this same ordering.

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