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The Cartographer
Sparsification of Monotone $k$-Submodular Functions of Low Curvature
February 06, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Jannik Kudla, Stanislav Ε½ivnΓ½
arXiv ID
2302.03143
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
Pioneered by Benczur and Karger for cuts in graphs [STOC'96], sparsification is a fundamental topic with wide-ranging applications that has been studied, e.g., for graphs and hypergraphs, in a combinatorial and a spectral setting, and with additive and multiplicate error bounds. Rafiey and Yoshida recently considered sparsification of decomposable submodular functions [AAAI'22]. We extend their work by presenting an efficient algorithm for a sparsifier for monotone $k$-submodular functions of low curvature.
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