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: "arithmetic circuits and the hadamard product of polynomials"
  Abstract: Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also give applications and connections to polynomial identity testing. Our main results are the following. 1. We show that noncommutative polynomial identity testing for algebraic branching programs over rationals is complete for the logspace counting class $\ceql$, and over fields of characteristic $p$ the problem is in $\ModpL/\Poly$. 2.We show an exponential lower bound for expressing the Raz-Yehudayoff polynomial as the Hadamard product of two monotone multilinear polynomials. In contrast the Permanent can be expressed as the Hadamard product of two monotone multilinear formulas of quadratic size.

Connected through hyperedge HE-1 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "almost settling the hardness of noncommutative determinant"
    - "counting paths and packings in halves"
    - "on the hardness of the noncommutative determinant"

Connected through hyperedge HE-2 (induced by source paper "fast exact algorithms using hadamard product of polynomials"):
  with members:
    - "on the hardness of the noncommutative determinant"
    - "homogeneous formulas and symmetric polynomials"
    - "balanced families of perfect hash functions and their applications"

Connected through hyperedge HE-3 (induced by source paper "univariate ideal membership parameterized by rank degree and number of generators"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "waring rank parameterized and exact algorithms"
    - "faster algorithms via waring decompositions"

Connected through hyperedge HE-4 (induced by source paper "noncommutative valiant s classes structure and complete problems"):
  with members:
    - "the complexity of the fermionant and immanants of constant width"
    - "on the hardness of the noncommutative determinant"

Connected through hyperedge HE-5 (induced by source paper "new algorithms and hard instances for non commutative computation"):
  with members:
    - "progress on polynomial identity testing ii"
    - "almost settling the hardness of noncommutative determinant"
    - "monomials in arithmetic circuits complete problems in the counting hierarchy"
    - "on the expressive power of permanents and perfect matchings of matrices of bounded pathwidth cliquewidth"
    - "new results on noncommutative and commutative polynomial identity testing"
    - "on the expressive power of planar perfect matching and permanents of bounded treewidth matrices"

Connected through hyperedge HE-6 (induced by source paper "explicit noether normalization for simultaneous conjugation via polynomial identity testing"):
  with members:
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

Connected through hyperedge HE-7 (induced by source paper "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"):
  with members:
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "better pseudorandom generators from milder pseudorandom restrictions"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "almost settling the hardness of noncommutative determinant"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic black box identity testing pi ordered algebraic branching programs"

Connected through hyperedge HE-8 (induced by source paper "geometric complexity theory v efficient algorithms for noether normalization"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "unifying known lower bounds via geometric complexity theory"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "the multivariate resultant is np hard in any characteristic"
    - "geometric complexity theory iv nonstandard quantum group for the kronecker problem"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

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.CC(Computational Complexity)