Data Structures Lower Bounds and Popular Conjectures

Pavel Dvořák; Michal Koucký; Karel Král; Veronika Slívová

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arXiv · 2102.09294

Data Structures Lower Bounds and Popular Conjectures

Pavel Dvořák·Michal Koucký·Karel Král·Veronika Slívová

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Abstract

In this paper, we investigate the relative power of several conjectures that attracted recently lot of interest. We establish a connection between the Network Coding Conjecture (NCC) of Li and Li and several data structure like problems such as non-adaptive function inversion of Hellman and the well-studied problem of polynomial evaluation and interpolation. In turn these data structure problems imply super-linear circuit lower bounds for explicit functions such as integer sorting and multi-point polynomial evaluation.

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Pavel Dvořák, Michal Koucký, Karel Král, Veronika Slívová. 2021-02-18. Data Structures Lower Bounds and Popular Conjectures. https://arxiv.org/abs/2102.09294

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