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 near optimal algorithm for computing real roots of sparse polynomials"):
  Abstract: Let $p\in\mathbb{Z}[x]$ be an arbitrary polynomial of degree $n$ with $k$ non-zero integer coefficients of absolute value less than $2^\tau$. In this paper, we answer the open question whether the real roots of $p$ can be computed with a number of arithmetic operations over the rational numbers that is polynomial in the input size of the sparse representation of $p$. More precisely, we give a deterministic, complete, and certified algorithm that determines isolating intervals for all real roots of $p$ with $O(k^3\cdot\log(n\tau)\cdot \log n)$ many exact arithmetic operations over the rational numbers. #R##N#When using approximate but certified arithmetic, the bit complexity of our algorithm is bounded by $\tilde{O}(k^4\cdot n\tau)$, where $\tilde{O}(\cdot)$ means that we ignore logarithmic. Hence, for sufficiently sparse polynomials (i.e. $k=O(\log^c (n\tau))$ for a positive constant $c$), the bit complexity is $\tilde{O}(n\tau)$. We also prove that the latter bound is optimal up to logarithmic factors.

Includes members:
  Member "rational univariate representations of bivariate systems and applications":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the complexity of computing the topology of real algebraic space curves")
  Member "from approximate factorization to root isolation with application to cylindrical algebraic decomposition":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems")
  Member "when newton meets descartes a simple and fast algorithm to isolate the real roots of a polynomial":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the complexity of computing the topology of real algebraic space curves")
  Member "on the complexity of solving a bivariate polynomial system":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the complexity of computing the topology of real algebraic space curves")
  Member "sqfreeeval an almost optimal real root isolation algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the complexity of subdivision for diameter distance tests")
  Member "the dmm bound multivariate aggregate separation bounds":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the complexity of solving zero dimensional polynomial systems via projection")

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.NA(Numerical Analysis)