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 complexity of factors of multivariate polynomials"
  Abstract: The existence of string functions, which are not polynomial time computable, but whose graph is checkable in polynomial time, is a basic assumption in cryptography. We prove that in the framework of algebraic complexity, there are no such families of polynomial functions of polynomially bounded degree over fields of characteristic zero. The proof relies on a polynomial upper bound on the approximative complexity of a factor g of a polynomial f in terms of the (approximative) complexity of f and the degree of the factor g. This extends a result by Kaltofen (STOC 1986). The concept of approximative complexity allows to cope with the case that a factor has an exponential multiplicity, by using a perturbation argument. Our result extends to randomized (two-sided error) decision complexity.

Connected through hyperedge HE-1 (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"
    - "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"
    - "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"

Connected through hyperedge HE-2 (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"
    - "boundaries of vp and vnp"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

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"
    - "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"
    - "permanent versus determinant not via saturations"

Connected through hyperedge HE-4 (induced by source paper "closure of vp under taking factors a short and simple proof"):
  with members:
    - "some closure results for polynomial factorization and applications"
    - "discovering the roots uniform closure results for algebraic classes under factoring"

Connected through hyperedge HE-5 (induced by source paper "on algebraic branching programs of small width"):
  with members:
    - "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"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-6 (induced by source paper "discovering the roots uniform closure results for algebraic classes under factoring"):
  with members:
    - "algebraic dependencies and pspace algorithms in approximative complexity"
    - "small hitting sets for tiny arithmetic circuits or how to turn bad designs into good"
    - "on algebraic branching programs of small width"
    - "a pspace construction of a hitting set for the closure of small algebraic circuits"
    - "arithmetic circuits with locally low algebraic rank"
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "boundaries of vp and vnp"
    - "reconstruction of real depth 3 circuits with top fan in 2"

Connected through hyperedge HE-7 (induced by source paper "a pspace construction of a hitting set for the closure of small algebraic circuits"):
  with members:
    - "geometric complexity theory v efficient algorithms for noether normalization"

Connected through hyperedge HE-8 (induced by source paper "no occurrence obstructions in geometric complexity theory"):
  with members:
    - "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"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "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)