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: "the limited power of powering polynomial identity testing and a depth four lower bound for the permanent"
  Abstract: Polynomial identity testing and arithmetic circuit lower bounds are two central questions in algebraic complexity theory. It is an intriguing fact that these questions are actually related.#R##N#One of the authors of the present paper has recently proposed#R##N#a "real tau-conjecture" which is inspired by this connection.#R##N#The real tau-conjecture states that the number of real roots of#R##N#a sum of products of sparse univariate polynomials should be#R##N#polynomially bounded. It implies a superpolynomial lower bound on the#R##N#size of arithmetic circuits computing the permanent polynomial.#R##N##R##N#In this paper we show that the real tau-conjecture holds true for a restricted class of sums of products of sparse polynomials.#R##N#This result yields lower bounds for a restricted class of depth-4 circuits: we show that polynomial size circuits from this class cannot compute the permanent, and we also give a deterministic polynomial identity testing algorithm for the same class of circuits.

Connected through hyperedge HE-1 (induced by source paper "computing the multilinear factors of lacunary polynomials without heights"):
  with members:
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "factoring bivariate lacunary polynomials without heights"
    - "a wronskian approach to the real tau conjecture"
    - "detecting lacunary perfect powers and computing their roots"

Connected through hyperedge HE-2 (induced by source paper "on the intersection of a sparse curve and a low degree curve a polynomial version of the lost theorem"):
  with members:
    - "shallow circuits with high powered inputs"

Connected through hyperedge HE-3 (induced by source paper "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"):
  with members:
    - "algebraic independence in positive characteristic a p adic calculus"
    - "algebraic independence and blackbox identity testing"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "from sylvester gallai configurations to rank bounds improved black box identity test for depth 3 circuits"
    - "deterministic polynomial time algorithms for matrix completion problems"
    - "an almost optimal rank bound for depth 3 identities"

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)