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: "binary determinantal complexity"
  Abstract: Abstract   We prove that for writing the 3 by 3 permanent polynomial as a determinant of a matrix consisting only of zeros, ones, and variables as entries, a 7 by 7 matrix is required. Our proof is computer based and uses the enumeration of bipartite graphs.  Furthermore, we analyze sequences of polynomials that are determinants of polynomially sized matrices consisting only of zeros, ones, and variables. We show that these are exactly the sequences in the complexity class of constant free polynomially sized (weakly) skew circuits.

Connected through hyperedge HE-1 (induced by source paper "no occurrence obstructions in geometric complexity theory"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "on vanishing of kronecker coefficients"
    - "geometric complexity theory and matrix powering"
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "bi polynomial rank and determinantal complexity"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "a lower bound for the determinantal complexity of a hypersurface"

Connected through hyperedge HE-2 (induced by source paper "permanent versus determinant not via saturations"):
  with members:
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-3 (induced by source paper "rectangular kronecker coefficients and plethysms in geometric complexity theory"):
  with members:
    - "on vanishing of kronecker coefficients"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "bi polynomial rank and determinantal complexity"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "the p versus np problem"
    - "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"

Connected through hyperedge HE-4 (induced by source paper "permanent versus determinant obstructions and kronecker coefficients"):
  with members:
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "bi polynomial rank and determinantal complexity"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "computing multiplicities of lie group representations"

Connected through hyperedge HE-5 (induced by source paper "a lower bound for the determinantal complexity of a hypersurface"):
  with members:
    - "permanent versus determinant not via saturations of monoids of representations"

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)