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: "the dmm bound multivariate aggregate separation bounds"
  Abstract: In this paper we derive aggregate separation bounds, named after Davenport-Mahler-Mignotte (\dmm), on the isolated roots of polynomial systems, specifically on the minimum distance between any two such roots. The bounds exploit the structure of the system and the height of the sparse (or toric) resultant by means of mixed volume, as well as recent advances on aggregate root bounds for univariate polynomials, and are applicable to arbitrary positive dimensional systems. We improve upon Canny's gap theorem \cite{c-crmp-87} by a factor of $\OO(d^{n-1})$, where $d$ bounds the degree of the polynomials, and $n$ is the number of variables. One application is to the bitsize of the eigenvalues and eigenvectors of an integer matrix, which also yields a new proof that the problem is polynomial. We also compare against recent lower bounds on the absolute value of the root coordinates by Brownawell and Yap \cite{by-issac-2009}, obtained under the hypothesis there is a 0-dimensional projection. Our bounds are in general comparable, but exploit sparseness; they are also tighter when bounding the value of a positive polynomial over the simplex. For this problem, we also improve upon the bounds in \cite{bsr-arxix-2009,jp-arxiv-2009}. Our analysis provides a precise asymptotic upper bound on the number of steps that subdivision-based algorithms perform in order to isolate all real roots of a polynomial system. This leads to the first complexity bound of Milne's algorithm \cite{Miln92} in 2D.

Connected through hyperedge HE-1 (induced by source paper "on the complexity of solving zero dimensional polynomial systems via projection"):
  with members:
    - "a near optimal subdivision algorithm for complex root isolation based on the pellet test and newton iteration"
    - "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"
    - "on the asymptotic and practical complexity of solving bivariate systems over the reals"

Connected through hyperedge HE-2 (induced by source paper "symbolic numeric tools for analytic combinatorics in several variables"):
  with members:
    - "multiple binomial sums"
    - "on the complexity of computing with planar algebraic curves"
    - "creative telescoping for rational functions using the griffiths dwork method"
    - "computing real roots of real polynomials"
    - "from approximate factorization to root isolation with application to cylindrical algebraic decomposition"

Connected through hyperedge HE-3 (induced by source paper "a near optimal algorithm for computing real roots of sparse polynomials"):
  with members:
    - "rational univariate representations of bivariate systems and applications"
    - "from approximate factorization to root isolation with application to cylindrical algebraic decomposition"
    - "when newton meets descartes a simple and fast algorithm to isolate the real roots of a polynomial"
    - "on the complexity of solving a bivariate polynomial system"
    - "sqfreeeval an almost optimal real root isolation algorithm"

Connected through hyperedge HE-4 (induced by source paper "nearly optimal computations with structured matrices"):
  with members:
    - "fast approximate polynomial multipoint evaluation and applications"
    - "univariate real root isolation in an extension field"

Connected through hyperedge HE-5 (induced by source paper "chapter 10 algebraic algorithms"):
  with members:
    - "matrix methods for solving algebraic systems"
    - "when newton meets descartes a simple and fast algorithm to isolate the real roots of a polynomial"
    - "random polynomials and expected complexity of bisection methods for real solving"
    - "improved complexity bounds for real root isolation using continued fractions"
    - "multihomogeneous resultant formulae for systems with scaled support"
    - "stable normal forms for polynomial system solving"
    - "faster inversion and other black box matrix computations using efficient block projections"
    - "smoothed analysis of the condition numbers and growth factors of matrices"

Connected through hyperedge HE-6 (induced by source paper "exact algorithms for solving stochastic games"):
  with members:
    - "the complexity of solving reachability games using value and strategy iteration"
    - "bounding the radii of balls meeting every connected component of semi algebraic sets"
    - "recursive concurrent stochastic games"
    - "stochastic limit average games are in exptime"

Connected through hyperedge HE-7 (induced by source paper "real root isolation of polynomial equations based on hybrid computation"):
  with members:
    - "root isolation of zero dimensional polynomial systems with linear univariate representation"

Connected through hyperedge HE-8 (induced by source paper "on the complexity of solving a bivariate polynomial system"):
  with members:
    - "a worst case bound for topology computation of algebraic curves"
    - "arrangement computation for planar algebraic curves"
    - "when newton meets descartes a simple and fast algorithm to isolate the real roots of a polynomial"
    - "univariate real root isolation in an extension field"
    - "on the complexity of real root isolation"
    - "an elimination method for solving bivariate polynomial systems eliminating the usual drawbacks"
    - "on the asymptotic and practical complexity of solving bivariate systems over the reals"
    - "fast multipoint evaluation of bivariate polynomials"

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)