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: "permanent versus determinant obstructions and kronecker coefficients"
  Abstract: We give an introduction to some of the recent ideas that go under the name "geometric complexity theory". We first sketch the proof of the known upper and lower bounds for the determinantal complexity of the permanent. We then introduce the concept of a representation theoretic obstruction, which has close links to algebraic combinatorics, and we explain some of the insights gained so far. In particular, we address very recent insights on the complexity of testing the positivity of Kronecker coefficients. We also briefly discuss the related asymptotic version of this question.

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"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "explicit lower bounds via geometric complexity theory"

Connected through hyperedge HE-2 (induced by source paper "on vanishing of kronecker coefficients"):
  with members:
    - "membership in moment polytopes is in np and conp"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "computing multiplicities of lie group representations"
    - "explicit lower bounds via geometric complexity theory"
    - "explicit proofs and the flip"
    - "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"
    - "geometric complexity theory iv nonstandard quantum group for the kronecker problem"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-3 (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"
    - "binary determinantal complexity"
    - "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"

Connected through hyperedge HE-4 (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"
    - "binary determinantal complexity"
    - "bi polynomial rank and determinantal complexity"
    - "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"

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)