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 ii towards explicit obstructions for embeddings among class varieties"
  Abstract: In part I we reduced the arithmetic (characteristic zero) version of the P \not \subseteq NP conjecture to the problem of showing that a variety associated with the complexity class NP cannot be embedded in the variety associated the complexity class P. We call these class varieties. #R##N#In this paper, this approach is developed further, reducing the nonexistence problems, such as the P vs. NP and related lower bound problems, to existence problems: specifically to proving existence of obstructions to such embeddings among class varieties. It gives two results towards explicit construction of such obstructions. #R##N#The first result is a generalization of the Borel-Weil theorem to a class of orbit closures, which include class varieties. The recond result is a weaker form of a conjectured analogue of the second fundamental theorem of invariant theory for the class variety associated with the complexity class NC. These results indicate that the fundamental lower bound problems in complexity theory are intimately linked with explicit construction problems in algebraic geometry and representation theory.

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"
    - "permanent versus determinant obstructions and kronecker coefficients"

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"
    - "geometric complexity theory and matrix powering"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "probabilistic complexity classes through semantics"):
  with members:
    - "prams over integers do not compute maxflow efficiently"
    - "characterizing co nl by a group action"
    - "interaction graphs full linear logic"
    - "towards a complexity through realizability theory"
    - "interaction graphs graphings"
    - "interaction graphs exponentials"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"

Connected through hyperedge HE-4 (induced by source paper "on the complexity of evaluating highest weight vectors"):
  with members:
    - "the computational complexity of plethysm coefficients"
    - "implementing geometric complexity theory on the separation of orbit closures via symmetries"
    - "on top fan in vs formal degree for depth 3 arithmetic circuits"
    - "the complexity of factors of multivariate polynomials"
    - "boundaries of vp and vnp"

Connected through hyperedge HE-5 (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"
    - "no occurrence obstructions in geometric complexity theory"

Connected through hyperedge HE-6 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "barriers for rank methods in arithmetic complexity"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "discovering the roots uniform closure results for algebraic classes under factoring"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "on the complexity of the permanent in various computational models"
    - "the complexity of tensor rank"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

Connected through hyperedge HE-7 (induced by source paper "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"):
  with members:
    - "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-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"
    - "no occurrence obstructions in geometric complexity theory"
    - "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"

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)