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: "explicit proofs and the flip"
  Abstract: This article describes a formal strategy of geometric complexity theory (GCT) to resolve the {\em self referential paradox} in the $P$ vs. $NP$ and related problems. The strategy, called the {\em flip}, is to go for {\em explicit proofs} of these problems. By an explicit proof we mean a proof that constructs proof certificates of hardness that are easy to verify, construct and decode. The main result in this paper says that (1) any proof of the arithmetic implication of the $P$ vs. $NP$ conjecture is close to an explicit proof in the sense that it can be transformed into an explicit proof by proving in addition that arithmetic circuit identity testing can be derandomized in a blackbox fashion, and (2) stronger forms of these arithmetic hardness and derandomization conjectures together imply a polynomial time algorithm for a formidable explicit construction problem in algebraic geometry. This may explain why these conjectures, which look so elementary at the surface, have turned out to be so hard.

Connected through hyperedge HE-1 (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"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "computing multiplicities of lie group representations"
    - "explicit lower bounds via geometric complexity theory"
    - "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-2 (induced by source paper "unifying known lower bounds via geometric complexity theory"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "lower bounds for the circuit size of partially homogeneous polynomials"
    - "using elimination theory to construct rigid matrices"
    - "equations for lower bounds on border rank"
    - "complexity of linear circuits and geometry"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "natural proofs versus derandomization"
    - "explicit lower bounds via geometric complexity theory"

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)