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- W4308962419 abstract "A priority queue is a fundamental data structure that maintains a dynamic set of (key, priority)-pairs and supports Insert, Delete, ExtractMin and DecreaseKey operations. In the external memory model, the current best priority queue supports each operation in amortized $O(frac{1}{B}log frac{N}{B})$ I/Os. If the DecreaseKey operation does not need to be supported, one can design a more efficient data structure that supports the Insert, Delete and ExtractMin operations in $O(frac{1}{B}log frac{N}{B}/ log frac{M}{B})$ I/Os. A recent result shows that a degradation in performance is inevitable by proving a lower bound of $Omega(frac{1}{B}log B/loglog N)$ I/Os for priority queues with DecreaseKeys. In this paper we tighten the gap between the lower bound and the upper bound by proposing a new priority queue which supports the DecreaseKey operation and has an expected amortized I/O complexity of $O(frac{1}{B}log frac{N}{B}/loglog N)$. Our result improves the external memory priority queue with DecreaseKeys for the first time in over a decade, and also gives the fastest external memory single source shortest path algorithm." @default.
- W4308962419 created "2022-11-20" @default.
- W4308962419 creator A5011889137 @default.
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- W4308962419 date "2018-06-20" @default.
- W4308962419 modified "2023-10-18" @default.
- W4308962419 title "A Faster External Memory Priority Queue with DecreaseKeys" @default.
- W4308962419 doi "https://doi.org/10.48550/arxiv.1806.07598" @default.
- W4308962419 hasPublicationYear "2018" @default.
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