human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "computing the homology of basic semialgebraic sets in weak exponential time"
  Abstract: We describe and analyze an algorithm for computing the homology (Betti numbers and torsion coefficients) of basic semialgebraic sets that works in weak exponential time. That is, of a set of exponentially small measure in the space of data, the cost of the algorithm is exponential in the size of the data. All algorithms previously proposed for this problem have a complexity that is doubly exponential (and this is so for almost all data).

Connected through hyperedge HE-1 (induced by source paper "smooth points on semi algebraic sets"):
  with members:
    - "certifying solutions to overdetermined and singular polynomial systems over q"
    - "a probabilistic algorithm to compute the real dimension of a semi algebraic set"
    - "triangular decomposition of semi algebraic systems"

Connected through hyperedge HE-2 (induced by source paper "computing the homology of semialgebraic sets i lax formulas"):
  with members:
    - "a numerical algorithm for zero counting ii distance to ill posedness and smoothed analysis"
    - "a numerical algorithm for zero counting i complexity and accuracy"

Connected through hyperedge HE-3 (induced by source paper "computing the volume of compact semi algebraic sets"):
  with members:
    - "rigorous multiple precision evaluation of d finite functions in sagemath"
    - "computing periods of rational integrals"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "creative telescoping for rational functions using the griffiths dwork method"
    - "algorithms for integrals of holonomic functions over domains defined by polynomial inequalities"
    - "a fast approach to creative telescoping"

Connected through hyperedge HE-4 (induced by source paper "plantinga vegter algorithm takes average polynomial time"):
  with members:
    - "computing the homology of semialgebraic sets i lax formulas"
    - "the complexity of subdivision for diameter distance tests"
    - "a numerical algorithm for zero counting ii distance to ill posedness and smoothed analysis"
    - "a numerical algorithm for zero counting i complexity and accuracy"

Connected through hyperedge HE-5 (induced by source paper "computing the homology of semialgebraic sets ii general formulas"):
  with members:
    - "computing the homology of semialgebraic sets i lax formulas"
    - "a numerical algorithm for zero counting i complexity and accuracy"

Connected through hyperedge HE-6 (induced by source paper "an experimental study of forbidden patterns in geometric permutations by combinatorial lifting"):
  with members:
    - "improved bounds for geometric permutations"

Question: Please tell me which class the center node 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)