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: "no occurrence obstructions in geometric complexity theory"
  Abstract: The permanent versus determinant conjecture is a major problem in complexity theory that is equivalent to the separation of the complexity classes VP_{ws} and VNP. Mulmuley and Sohoni (SIAM J. Comput., 2001) suggested to study a strengthened version of this conjecture over the complex numbers that amounts to separating the orbit closures of the determinant and padded permanent polynomials. In that paper it was also proposed to separate these orbit closures by exhibiting occurrence obstructions, which are irreducible representations of GL_{n^2}(C), which occur in one coordinate ring of the orbit closure, but not in the other. We prove that this approach is impossible. However, we do not rule out the general approach to the permanent versus determinant problem via multiplicity obstructions as proposed by Mulmuley and Sohoni.

Connected through hyperedge HE-1 (induced by source paper "the computational complexity of plethysm coefficients"):
  with members:
    - "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"
    - "implementing geometric complexity theory on the separation of orbit closures via symmetries"
    - "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"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "explicit lower bounds via geometric complexity theory"

Connected through hyperedge HE-2 (induced by source paper "implementing geometric complexity theory on the separation of orbit closures via symmetries"):
  with members:
    - "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"
    - "the complexity of factors of multivariate polynomials"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "geometric complexity theory and matrix powering"
    - "permanent versus determinant not via saturations"

Connected through hyperedge HE-3 (induced by source paper "search problems in algebraic complexity gct and hardness of generator for invariant rings"):
  with members:
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "circuit complexity proof complexity and polynomial identity testing"
    - "geometric complexity theory v efficient algorithms for noether normalization"

Connected through hyperedge HE-4 (induced by source paper "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"):
  with members:
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "explicit lower bounds via geometric complexity theory"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-5 (induced by source paper "waring rank parameterized and exact algorithms"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "extensor coding"
    - "barriers for rank methods in arithmetic complexity"
    - "designing deterministic polynomial space algorithms by color coding multivariate polynomials"
    - "the border support rank of two by two matrix multiplication is seven"
    - "nash social welfare matrix permanent and stable polynomials"
    - "graph isomorphism in quasipolynomial time"
    - "finding and counting vertex colored subtrees"

Connected through hyperedge HE-6 (induced by source paper "orbits of monomials and factorization into products of linear forms"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"

Connected through hyperedge HE-7 (induced by source paper "towards an algebraic natural proofs barrier via polynomial identity testing"):
  with members:
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "arithmetic circuits with locally low algebraic rank"
    - "geometric complexity theory and matrix powering"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "the chasm at depth four and tensor rank old results new insights"
    - "on minimal free resolutions and the method of shifted partial derivatives in complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"

Connected through hyperedge HE-8 (induced by source paper "on algebraic branching programs of small width"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "a 2n 2 log n 1 lower bound for the border rank of matrix multiplication"
    - "boundaries of vp and vnp"
    - "unifying known lower bounds via geometric complexity theory"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "equations for lower bounds on border rank"

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)