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: "bi polynomial rank and determinantal complexity"
  Abstract: The permanent vs. determinant problem is one of the most important problems in theoretical computer science, and is the main target of geometric complexity theory proposed by Mulmuley and Sohoni. The current best lower bound for the determinantal complexity of the d by d permanent polynomial is d^2/2, due to Mignon and Ressayre in 2004. Inspired by their proof method, we introduce a natural rank concept of polynomials, called the bi-polynomial rank. The bi-polynomial rank is related to width of an arithmetic branching program. The bi-polynomial rank of a homogeneous polynomial p of even degree 2k is defined as the minimum n such that p can be written as a summation of n products of polynomials of degree k. We prove that the bi-polynomial rank gives a lower bound of the determinantal complexity. As a consequence, the above Mignon and Ressayre bound is improved to (d-1)^2 + 1 over the field of reals. We show that the computation of the bi-polynomial rank is formulated as a rank minimization problem. Applying the concave minimization technique, we reduce the problem of lower-bounding determinantal complexity to that of proving the positive semidefiniteness of matrices, and this is a new approach for the permanent vs. determinant problem. We propose a computational approach for giving a lower bound of this rank minimization, via techniques of the concave minimization. This also yields a new strategy to attack the permanent vs. determinant problem.

Connected through hyperedge HE-1 (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"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "a lower bound for the determinantal complexity of a hypersurface"

Connected through hyperedge HE-2 (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"
    - "permanent versus determinant obstructions and kronecker coefficients"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "permanent versus determinant obstructions and kronecker coefficients"):
  with members:
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "binary determinantal complexity"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "computing multiplicities of lie group representations"

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)