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 "a probabilistic approach to reducing the algebraic complexity of computing delaunay triangulations"):
  Abstract: Computing Delaunay triangulations in R d involves evaluating the so-called in_sphere predicate that determines if a point x lies inside, on or outside the sphere circumscribing d + 1 points p0;:::;pd. This predicate reduces to evaluating the sign of a multivariate polynomial of degree d + 2 in the coordinates of the points x;p0;:::;pd. Despite much progress on exact geometric computing, the fact that the degree of the polynomial increases with d makes the evaluation of the sign of such a polynomial problematic except in very low dimensions. In this paper, we propose a new approach that is based on the witness complex, a weak form of the Delaunay complex introduced by Carlsson and de Silva. The witness complex Wit(L;W ) is defined from two sets L and W in some metric space X: a finite set of points L on which the complex is built, and a set W of witnesses that serves as an approximation of X. A fundamental result of de Silva states that Wit(L;W ) = Del(L) if W = X = R d . In this paper, we give conditions on L that ensure that the witness complex and the Delaunay triangulation coincide when W is a finite set, and we introduce a new perturbation scheme to compute a perturbed set L 0 close to L such that Del(L 0 ) = Wit(L 0 ;W ). Our perturbation algorithm is a geometric application of the Moser-Tardos constructive proof of the Lovasz local lemma. The only numerical operations we use are (squared) distance comparisons (i.e., predicates of degree 2). The time-complexity of the algorithm is sublinear in jWj. Interestingly, although the algorithm does not compute any measure of simplex quality, a lower bound on the thickness of the output simplices can be guaranteed.

Includes members:
  Member "the simplex tree an efficient data structure for general simplicial complexes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "gpu accelerated computation of vietoris rips persistence barcodes")
  Member "delaunay stability via perturbations":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "delaunay simplices in diagonally distorted lattices")
  Member "only distances are required to reconstruct submanifolds":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "delaunay simplices in diagonally distorted lattices")
  Member "the stability of delaunay triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "delaunay simplices in diagonally distorted lattices")
  Member "a constructive proof of the general lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "scattering and sparse partitions and their applications")

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)