Algorithms — ESA’ 98: 6th Annual European Symposium Venice, by Jeffrey Scott Vitter (auth.), Gianfranco Bilardi, Giuseppe

By Jeffrey Scott Vitter (auth.), Gianfranco Bilardi, Giuseppe F. Italiano, Andrea Pietracaprina, Geppino Pucci (eds.)

This ebook constitutes the refereed lawsuits of the sixth Annual eu Symposium on Algorithms, ESA'97, held in Venice, Italy, in August 1998.
The forty revised complete papers provided including invited contributions have been rigorously reviewed and chosen from a complete of 131 submissions. The ebook is split into sections on facts constructions, strings and biology, numerical algorithms, geometry, randomized and on-line algorithms, parallel and disbursed algorithms, graph algorithms, and optimization.

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Additional resources for Algorithms — ESA’ 98: 6th Annual European Symposium Venice, Italy, August 24–26, 1998 Proceedings

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Manuscript. 14. L. Arge, M. Knudsen, and K. Larsen. A general lower bound on the I/O-complexity of comparison-based algorithms. In Proc. 3rd Workshop on Algorithms and Data Structures, volume 709, 83–94. Lecture Notes in Computer Science, Springer-Verlag, 1993. 15. L. Arge and P. Miltersen. On showing lower bounds for external-memory computational geometry problems. In J. Abello and J. S. Vitter, editors, External Memory Algorithms and Visualization, DIMACS series. American Mathematical Society, 1998.

1. Two binomial queues of rank 2 combine to make one binomial queue of rank 3. The soft queue is missing the two light edges. Corrupted item-lists are both of size two; node keys are in parentheses. minimum key among all rj ’s (j ≥ i). The latter is called the prefix-min pointer of si . We require that rank(r1 ) < · · · < rank(rm ). By extension, the rank of a queue (resp. heap) refers to the rank of its root (resp. rm ). 3 The Heap Operations To create a new, empty heap requires no work. To insert a new item, we create an uncorrupted one-node queue, and we meld it into the heap (see below).

The main application of the data structure is a faster deterministic algorithm for minimum spanning trees. 1 Introduction We design a simple variant of a priority queue, called a soft heap. The data structure stores items with keys from a totally ordered universe, and supports the operations: – create (S): Create a new, empty soft heap. – insert (S, x): Add new item x to S. – meld (S1 , S2 ): Form a new soft heap with the items stored in S1 , S2 (assumed to be disjoint), and destroy S1 and S2 .

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