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 near optimal subdivision algorithm for complex root isolation based on the pellet test and newton iteration"
  Abstract: We describe a subdivision algorithm for isolating the complex roots of a polynomial $F\in\mathbb{C}[x]$. Given an oracle that provides approximations of each of the coefficients of $F$ to any absolute error bound and given an arbitrary square $\mathcal{B}$ in the complex plane containing only simple roots of $F$, our algorithm returns disjoint isolating disks for the roots of $F$ in $\mathcal{B}$. Our complexity analysis bounds the absolute error to which the coefficients of $F$ have to be provided, the total number of iterations, and the overall bit complexity. It further shows that the complexity of our algorithm is controlled by the geometry of the roots in a near neighborhood of the input square $\mathcal{B}$, namely, the number of roots, their absolute values and pairwise distances. The number of subdivision steps is near-optimal. For the \emph{benchmark problem}, namely, to isolate all the roots of a polynomial of degree $n$ with integer coefficients of bit size less than $\tau$, our algorithm needs $\tilde O(n^3+n^2\tau)$ bit operations, which is comparable to the record bound of Pan (2002). It is the first time that such a bound has been achieved using subdivision methods, and independent of divide-and-conquer techniques such as Sch\"onhage's splitting circle technique. Our algorithm uses the quadtree construction of Weyl (1924) with two key ingredients: using Pellet's Theorem (1881) combined with Graeffe iteration, we derive a "soft-test" to count the number of roots in a disk. Using Schr\"oder's modified Newton operator combined with bisection, in a form inspired by the quadratic interval method from Abbot (2006), we achieve quadratic convergence towards root clusters. Relative to the divide-conquer algorithms, our algorithm is quite simple with the potential of being practical. This paper is self-contained: we provide pseudo-code for all subroutines used by our algorithm.

Connected through hyperedge HE-1 (induced by source paper "new progress in univariate polynomial root finding"):
  with members:
    - "polynomial root clustering and explicit deflation"
    - "implementation of a near optimal complex root clustering algorithm"
    - "computing real roots of real polynomials and now for real"
    - "real polynomial root finding by means of matrix and polynomial iterations"
    - "nearly optimal computations with structured matrices"
    - "a numerical algorithm for zero counting i complexity and accuracy"

Connected through hyperedge HE-2 (induced by source paper "new practical advances in polynomial root clustering"):
  with members:
    - "implementation of a near optimal complex root clustering algorithm"
    - "polynomial factorization is simple and helpful more so than it seems to be"
    - "computing real roots of real polynomials and now for real"
    - "computing real roots of real polynomials"

Connected through hyperedge HE-3 (induced by source paper "complexity of a root clustering algorithm"):
  with members:
    - "arb efficient arbitrary precision midpoint radius interval arithmetic"
    - "on the complexity of solving a bivariate polynomial system"

Connected through hyperedge HE-4 (induced by source paper "polynomial factorization is simple and helpful more so than it seems to be"):
  with members:
    - "polynomial root clustering and explicit deflation"
    - "implementation of a near optimal complex root clustering algorithm"
    - "computing real roots of real polynomials and now for real"
    - "nearly optimal computations with structured matrices"

Connected through hyperedge HE-5 (induced by source paper "implementation of a near optimal complex root clustering algorithm"):
  with members:
    - "computing real roots of real polynomials and now for real"
    - "computing real roots of real polynomials"

Connected through hyperedge HE-6 (induced by source paper "efficiently computing real roots of sparse polynomials"):
  with members:
    - "computing real roots of real polynomials and now for real"
    - "a near optimal algorithm for computing real roots of sparse polynomials"
    - "computing real roots of real polynomials"
    - "from approximate factorization to root isolation with application to cylindrical algebraic decomposition"

Connected through hyperedge HE-7 (induced by source paper "on the complexity of solving zero dimensional polynomial systems via projection"):
  with members:
    - "on the complexity of computing with planar algebraic curves"
    - "powers of tensors and fast matrix multiplication"
    - "from approximate factorization to root isolation with application to cylindrical algebraic decomposition"
    - "on the complexity of solving a bivariate polynomial system"
    - "root isolation of zero dimensional polynomial systems with linear univariate representation"
    - "the dmm bound multivariate aggregate separation bounds"
    - "on the asymptotic and practical complexity of solving bivariate systems over the reals"

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.NA(Numerical Analysis)