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: "monomials in arithmetic circuits complete problems in the counting hierarchy"
  Abstract: We consider the complexity of two questions on polynomials given by arithmetic circuits: testing whether a monomial is present and counting the number of monomials. We show that these problems are complete for subclasses of the counting hierarchy which had few or no known natural complete problems. We also study these questions for circuits computing multilinear polynomials.

Connected through hyperedge HE-1 (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"
    - "arithmetic circuits and the hadamard product of polynomials"
    - "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-2 (induced by source paper "algebraic complexity classes"):
  with members:
    - "symmetric determinantal representations in characteristic 2"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "the arithmetic complexity of tensor contractions"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-3 (induced by source paper "algebraic independence in positive characteristic a p adic calculus"):
  with members:
    - "progress on polynomial identity testing ii"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"
    - "algebraic independence and blackbox identity testing"

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)