Median of heaps: linear-time selection by recursively constructing binary heaps

April 24, 2023 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Oliver Serang arXiv ID 2304.12313 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
The first worst-case linear-time algorithm for selection was discovered in 1973; however, linear-time binary heap construction was first published in 1964. Here we describe another worst-case linear selection algorithm,which is simply implemented and uses binary heap construction as its principal engine. The algorithm is implemented in place, and shown to perform similarly to in-place median of medians.
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