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arXiv · 2302.03143

Sparsification of Monotone $k$-Submodular Functions of Low Curvature

Jannik Kudla·Stanislav Živný
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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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Jannik Kudla, Stanislav Živný. 2023-02-06. Sparsification of Monotone $k$-Submodular Functions of Low Curvature. https://arxiv.org/abs/2302.03143

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