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 "nearly optimal planar k nearest neighbors queries under general distance functions"):
  Abstract: We study the k nearest neighbors problem in the plane for general, convex, pairwise disjoint sites of constant description complexity such as line segments, disks, and quadrilaterals and with respect to a general family of distance functions including the L_p-norms and additively weighted Euclidean distances. For point sites in the Euclidean metric, after four decades of effort, an optimal data structure has recently been developed with O( n ) space, O( log n + k ) query time, and O( n log n ) preprocessing time. We develop a static data structure for the general setting with nearly optimal O( n log log n ) space, the optimal O( log n + k ) query time, and expected O( n polylog n ) preprocessing time. The O( n log log n ) space approaches the linear space, whose achievability is still unknown with the optimal query time, and improves the so far best O( n ( log^2 n )( log log n )^2 ) space of Bohler et al.'s work. Our dynamic version (that allows insertions and deletions of sites) also reduces the space of Kaplan et al.'s work from O( n log^3 n ) to O( n log n ). #R##N#To obtain these progresses, we devise shallow cuttings of linear size for general distance functions. Shallow cuttings are a key technique to deal with the k nearest neighbors problem for point sites in the Euclidean metric. Agarwal et al. already designed linear-size shallow cuttings for general distance functions, but their shallow cuttings could not be applied to the k nearest neighbors problem. Recently, Kaplan et al. constructed shallow cuttings that are feasible for the k nearest neighbors problem, while the size of their shallow cuttings has an extra double logarithmic factor. Our innovation is a new random sampling technique for the analysis of geometric structures. Since our new technique provides a new way to develop and analyze geometric algorithms, we believe it is of independent interest.

Includes members:
  Member "dynamic geometric data structures via shallow cuttings":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "thaad efficient matching queries under temporal abstraction for anomaly detection")
  Member "improved dynamic geodesic nearest neighbor searching in a simple polygon":
    also connected through other hyperedges:
      (none)
  Member "dynamic planar voronoi diagrams for general distance functions and their algorithmic applications":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a graph theoretic additive approximation of optimal transport")
  Member "shortest paths in intersection graphs of unit disks":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "near optimal algorithms for shortest paths in weighted unit disk graphs")
  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)