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 "optimal euclidean spanners really short thin and lanky"):
  Abstract: In a seminal STOC'95 paper, titled "Euclidean spanners: short, thin and lanky", Arya et al. devised a construction of Euclidean $(1+\eps)$-spanners that achieves constant degree, diameter $O(\log n)$, and weight $O(\log^2 n) \cdot \omega(MST)$, and has running time $O(n \cdot \log n)$. This construction applies to $n$-point constant-dimensional Euclidean spaces. Moreover, Arya et al. conjectured that the weight bound can be improved by a logarithmic factor, without increasing the degree and the diameter of the spanner, and within the same running time. #R##N#This conjecture of Arya et al. became a central open problem in the area of Euclidean spanners. #R##N#In this paper we resolve the long-standing conjecture of Arya et al. in the affirmative. Specifically, we present a construction of spanners with the same stretch, degree, diameter, and running time, as in Arya et al.'s result, but with optimal weight $O(\log n) \cdot \omega(MST)$. #R##N#Moreover, our result is more general in three ways. First, we demonstrate that the conjecture holds true not only in constant-dimensional Euclidean spaces, but also in doubling metrics. Second, we provide a general tradeoff between the three involved parameters, which is tight in the entire range. Third, we devise a transformation that decreases the lightness of spanners in general metrics, while keeping all their other parameters in check. Our main result is obtained as a corollary of this transformation.

Includes members:
  Member "the traveling salesman problem low dimensionality implies a polynomial time approximation scheme":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a quasi polynomial algorithm for well spaced hyperbolic tsp")
  Member "from hierarchical partitions to hierarchical covers optimal fault tolerant spanners for doubling metrics":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "truly optimal euclidean spanners")
  Member "fast constructions of light weight spanners for general graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "distributed construction of light networks")
  Member "fault tolerant spanners for doubling metrics better and simpler":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the minimum edge compact spanner network design problem")
  Member "incubators vs zombies fault tolerant short thin and lanky spanners for doubling metrics":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "from hierarchical partitions to hierarchical covers optimal fault tolerant spanners for doubling metrics")
  Member "balancing degree diameter and weight in euclidean spanners":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "from hierarchical partitions to hierarchical covers optimal fault tolerant spanners for doubling metrics")
  Member "efficient regression in metric spaces via approximate lipschitz extension":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "truly optimal euclidean spanners")
  Member "an optimal time construction of euclidean sparse spanners with tiny diameter":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "light spanners for snowflake metrics")

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.DS(Data Structures and Algorithms)