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The Cartographer
Optimally selecting the top $k$ values from $X+Y$ with layer-ordered heaps
January 30, 2020 Β· Declared Dead Β· + Add venue
"No code URL or promise found in abstract"
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Authors
Oliver Serang
arXiv ID
2001.11607
Category
cs.DS: Data Structures & Algorithms
Citations
4
Last Checked
4 months ago
Abstract
Selection and sorting the Cartesian sum, $X+Y$, are classic and important problems. Here, a new algorithm is presented, which generates the top $k$ values of the form $X_i+Y_j$. The algorithm relies only on median-of-medians and is simple to implement. Furthermore, it uses data structures contiguous in memory, and is fast in practice. The presented algorithm is demonstrated to be theoretically optimal.
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