human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "constructive polynomial partitioning for algebraic curves in mathbb r 3 with applications"):
  Abstract: In 2015, Guth proved that for any set of $k$-dimensional varieties in $\mathbb{R}^d$ and for any positive integer $D$, there exists a polynomial of degree at most $D$ whose zero-set divides $\mathbb{R}^d$ into open connected "cells," so that only a small fraction of the given varieties intersect each cell. Guth's result generalized an earlier result of Guth and Katz for points. #R##N#Guth's proof relies on a variant of the Borsuk-Ulam theorem, and for $k>0$, it is unknown how to obtain an explicit representation of such a partitioning polynomial and how to construct it efficiently. In particular, it is unknown how to effectively construct such a polynomial for curves (or even lines) in $\mathbb{R}^3$. #R##N#We present an efficient algorithmic construction for this setting. Given a set of $n$ input curves and a positive integer $D$, we efficiently construct a decomposition of space into $O(D^3\log^3{D})$ open cells, each of which meets $O(n/D^2)$ curves from the input. The construction time is $O(n^2)$. For the case of lines in $3$-space we present an improved implementation, whose running time is $O(n^{4/3} \operatorname{polylog} n)$. The constant of proportionality in both time bounds depends on $D$ and the maximum degree of the polynomials defining the input curves. #R##N#As an application, we revisit the problem of eliminating depth cycles among non-vertical lines in $3$-space, recently studied by Aronov and Sharir (2018), and show an algorithm that cuts $n$ such lines into $O(n^{3/2+\varepsilon})$ pieces that are depth-cycle free, for any $\varepsilon > 0$. The algorithm runs in $O(n^{3/2+\varepsilon})$ time, which is a considerable improvement over previously known algorithms.

Includes members:
  Member "an efficient algorithm for generalized polynomial partitioning and its applications":
    also connected through other hyperedges:
      (none)
  Member "removing depth order cycles among triangles an efficient algorithm generating triangular fragments":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "eliminating depth cycles among triangles in three dimensions")
  Member "eliminating depth cycles among triangles in three dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an efficient algorithm for generalized polynomial partitioning and its applications")
  Member "almost tight bounds for eliminating depth cycles in three dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "removing depth order cycles among triangles an efficient algorithm generating triangular fragments")
  Member "on range searching with semialgebraic sets ii":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "algorithmic and geometric aspects of data depth with focus on β skeleton depth")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.CG(Computational Geometry)