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 "an efficient algorithm for generalized polynomial partitioning and its applications"):
  Abstract: Guth showed that given a family $\mathcal{S}$ of $n$ $g$-dimensional semi-algebraic sets in $\mathbb{R}^d$ and an integer parameter $D \geq 1$, there is a $d$-variate partitioning polynomial $P$ of degree at most $D$, so that each connected component of $\mathbb{R}^d \setminus Z(P)$ intersects $O(n / D^{d-g})$ sets from $\mathcal{S}$. Such a polynomial is called a "generalized partitioning polynomial". We present a randomized algorithm that efficiently computes such a polynomial $P$. Specifically, the expected running time of our algorithm is only linear in $|\mathcal{S}|$, where the constant of proportionality depends on $d$, $D$, and the complexity of the description of~$\mathcal{S}$. Our approach exploits the technique of "quantifier elimination" combined with that of "$\epsilon$-samples". #R##N#We present four applications of our result. The first is a data structure for answering point-location queries among a family of semi-algebraic sets in $\mathbb{R}^d$ in $O(\log n)$ time; the second is data structure for answering range search queries with semi-algebraic ranges in $O(\log n)$ time; the third is a data structure for answering vertical ray-shooting queries among semi-algebraic sets in $\mathbb{R}^{d}$ in $O(\log^2 n)$ time; and the fourth is an efficient algorithm for cutting algebraic planar curves into pseudo-segments, i.e., into Jordan arcs, each pair of which intersect at most once.

Includes members:
  Member "decomposing arrangements of hyperplanes vc dimension combinatorial dimension and point location":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal bounds on the vc dimension")
  Member "eliminating depth cycles among triangles in three dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "constructive polynomial partitioning for algebraic curves in mathbb r 3 with applications")
  Member "on range searching with semialgebraic sets ii":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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)