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 "balancing degree diameter and weight in euclidean spanners"):
  Abstract: In this paper we devise a novel \emph{unified} construction of Euclidean spanners that trades between the maximum degree, diameter and weight gracefully. For a positive integer k, our construction provides a (1+eps)-spanner with maximum degree O(k), diameter O(log_k n + alpha(k)), weight O(k \cdot log_k n \cdot log n) \cdot w(MST(S)), and O(n) edges. Note that for k= n^{1/alpha(n)} this gives rise to diameter O(alpha(n)), weight O(n^{1/alpha(n)} \cdot log n \cdot alpha(n)) \cdot w(MST(S)) and maximum degree O(n^{1/alpha(n)}), which improves upon a classical result of Arya et al. \cite{ADMSS95}; in the corresponding result from \cite{ADMSS95} the spanner has the same number of edges and diameter, but its weight and degree may be arbitrarily large. Also, for k = O(1) this gives rise to maximum degree O(1), diameter O(log n) and weight O(log^2 n) \cdot w(MST(S)), which reproves another classical result of Arya et al. \cite{ADMSS95}. Our bound of O(log_k n + alpha(k)) on the diameter is optimal under the constraints that the maximum degree is O(k) and the number of edges is O(n). Our bound on the weight is optimal up to a factor of log n. Our construction also provides a similar tradeoff in the complementary range of parameters, i.e., when the weight should be smaller than log^2 n, but the diameter is allowed to grow beyond log n. #R##N#For random point sets in the d-dimensional unit cube, we "shave" a factor of log n from the weight bound. Specifically, in this case our construction achieves maximum degree O(k), diameter O(log_k n + alpha(k)) and weight that is with high probability O(k \cdot log_k n) \cdot w(MST(S)). #R##N#Finally, en route to these results we devise optimal constructions of 1-spanners for general tree metrics, which are of independent interest.

Includes members:
  Member "efficient regression in metric spaces via approximate lipschitz extension":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "truly optimal euclidean spanners")
  Member "shallow low and light trees and tight lower bounds for euclidean spanners":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "truly optimal euclidean spanners")
  Member "transitive closure spanners":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "efficient and simple algorithms for fault tolerant spanners")
  Member "fast construction of nets in low dimensional metrics and their applications":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a data dependent algorithm for querying earth mover s distance with low doubling dimension")

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)