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: "geometric complexity theory and matrix powering"
  Abstract: Valiant's famous determinant versus permanent problem is the flagship problem in algebraic complexity theory. Mulmuley and Sohoni (Siam J Comput 2001, 2008) introduced geometric complexity theory, an approach to study this and related problems via algebraic geometry and representation theory. Their approach works by multiplying the permanent polynomial with a high power of a linear form (a process called padding) and then comparing the orbit closures of the determinant and the padded permanent. This padding was recently used heavily to show no-go results for the method of shifted partial derivatives (Efremenko, Landsberg, Schenck, Weyman, 2016) and for geometric complexity theory (Ikenmeyer Panova, FOCS 2016 and B\"urgisser, Ikenmeyer Panova, FOCS 2016). Following a classical homogenization result of Nisan (STOC 1991) we replace the determinant in geometric complexity theory with the trace of a variable matrix power. This gives an equivalent but much cleaner homogeneous formulation of geometric complexity theory in which the padding is removed. This radically changes the representation theoretic questions involved to prove complexity lower bounds. We prove that in this homogeneous formulation there are no orbit occurrence obstructions that prove even superlinear lower bounds on the complexity of the permanent. This is the first no-go result in geometric complexity theory that rules out superlinear lower bounds in some model. Interestingly---in contrast to the determinant---the trace of a variable matrix power is not uniquely determined by its stabilizer.

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"
    - "no occurrence obstructions in geometric complexity theory"
    - "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 "algebraic branching programs border complexity and tangent spaces"):
  with members:
    - "strongly exponential separation between monotone vp and monotone vnp"
    - "on top fan in vs formal degree for depth 3 arithmetic circuits"
    - "the complexity of factors of multivariate polynomials"
    - "on algebraic branching programs of small width"
    - "boundaries of vp and vnp"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"

Connected through hyperedge HE-3 (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"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"

Connected through hyperedge HE-4 (induced by source paper "kronecker powers of tensors and strassen s laser method"):
  with members:
    - "barriers for fast matrix multiplication from irreversibility"
    - "barriers for rank methods in arithmetic complexity"
    - "further limitations of the known approaches for matrix multiplication"
    - "on degeneration of tensors and algebras"

Connected through hyperedge HE-5 (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"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "no occurrence obstructions in geometric complexity theory"
    - "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-6 (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"
    - "permanent versus determinant not via saturations"
    - "binary determinantal complexity"
    - "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-7 (induced by source paper "on the complexity of the permanent in various computational models"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "on the expressive power of read once determinants"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "deterministic polynomial time algorithms for matrix completion problems"
    - "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)