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: "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
  Abstract: A roadmap for a semi-algebraic set $S$ is a curve which has a non-empty and connected intersection with all connected components of $S$. Hence, this kind of object, introduced by Canny, can be used to answer connectivity queries (with applications, for instance, to motion planning) but has also become of central importance in effective real algebraic geometry, since it is used in higher-level algorithms. In this paper, we provide a probabilistic algorithm which computes roadmaps for smooth and bounded real algebraic sets. Its output size and running time are polynomial in $(nD)^{n\log(d)}$, where $D$ is the maximum of the degrees of the input polynomials, $d$ is the dimension of the set under consideration and $n$ is the number of variables. More precisely, the running time of the algorithm is essentially subquadratic in the output size. Even under our assumptions, it is the first roadmap algorithm with output size and running time polynomial in $(nD)^{n\log(d)}$.

Connected through hyperedge HE-1 (induced by source paper "computing the volume of compact semi algebraic sets"):
  with members:
    - "computing the homology of basic semialgebraic sets in weak exponential time"
    - "rigorous multiple precision evaluation of d finite functions in sagemath"
    - "computing periods of rational integrals"
    - "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-2 (induced by source paper "computing the homology of basic semialgebraic sets in weak exponential time"):
  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 "real root finding for equivariant semi algebraic systems"):
  with members:
    - "determinantal sets singularities and application to optimal control in medical imagery"
    - "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"
    - "real root finding for determinants of linear matrices"
    - "intrinsic complexity estimates in polynomial optimization"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "polynomial time computing over quadratic maps i sampling in real algebraic sets"

Connected through hyperedge HE-4 (induced by source paper "solving determinantal systems using homotopy techniques"):
  with members:
    - "critical point computations on smooth varieties degree and complexity bounds"
    - "a polyhedral method to compute all affine solution sets of sparse polynomial systems"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"
    - "on the complexity of the generalized minrank problem"

Connected through hyperedge HE-5 (induced by source paper "exact algorithms for semidefinite programs with degenerate feasible set"):
  with members:
    - "solving rank constrained semidefinite programs in exact arithmetic"
    - "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"
    - "real root finding for determinants of linear matrices"
    - "intrinsic complexity estimates in polynomial optimization"

Connected through hyperedge HE-6 (induced by source paper "on exact polya hilbert artin and putinar s representations"):
  with members:
    - "on exact polya and putinar s representations"
    - "realcertify a maple package for certifying non negativity"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"

Connected through hyperedge HE-7 (induced by source paper "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"):
  with members:
    - "solving rank constrained semidefinite programs in exact arithmetic"
    - "symbolic numeric tools for analytic combinatorics in several variables"
    - "powers of tensors and fast matrix multiplication"
    - "on the complexity of the multivariate resultant"
    - "intrinsic complexity estimates in polynomial optimization"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"
    - "multihomogeneous resultant formulae for systems with scaled support"

Connected through hyperedge HE-8 (induced by source paper "solving rank constrained semidefinite programs in exact arithmetic"):
  with members:
    - "real root finding for low rank linear matrices"
    - "real root finding for rank defects in linear hankel matrices"
    - "real root finding for determinants of linear matrices"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"

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.SC(Symbolic Computation)