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: "equations for lower bounds on border rank"
  Abstract: We present new methods for determining polynomials in the ideal of the variety of bilinear maps of border rank at most r. We apply these methods to several cases including the case r = 6 in the space of bilinear maps C^4 x C^4 -> C^4. This space of bilinear maps includes the matrix multiplication operator M_2 for two by two matrices. We show these newly obtained polynomials do not vanish on the matrix multiplication operator M_2, which gives a new proof that the border rank of the multiplication of 2 x 2 matrices is seven. Other examples are considered along with an explanation of how to implement the methods.

Connected through hyperedge HE-1 (induced by source paper "the complexity of matrix multiplication developments since 2014 extended abstract of 2018 oberwolfach complexity meeting plenary lecture"):
  with members:
    - "further limitations of the known approaches for matrix multiplication"
    - "powers of tensors and fast matrix multiplication"
    - "new lower bounds for the rank of matrix multiplication"
    - "new lower bounds for the border rank of matrix multiplication"
    - "tensor rank some lower and upper bounds"

Connected through hyperedge HE-2 (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"

Connected through hyperedge HE-3 (induced by source paper "the border support rank of two by two matrix multiplication is seven"):
  with members:
    - "the complexity of computing the minimum rank of a sign pattern matrix"
    - "powers of tensors and fast matrix multiplication"
    - "computing multiplicities of lie group representations"
    - "nondeterministic quantum query and quantum communication complexities"

Connected through hyperedge HE-4 (induced by source paper "matrix multiplication algorithms from group orbits"):
  with members:
    - "the geometry of rank decompositions of matrix multiplication i 2x2 matrices"
    - "a 2n 2 log n 1 lower bound for the border rank of matrix multiplication"
    - "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"
    - "symmetries of matrix multiplication algorithms i"
    - "fast matrix multiplication limitations of the laser method"
    - "powers of tensors and fast matrix multiplication"
    - "on symmetries of the strassen algorithm"
    - "new lower bounds for the rank of matrix multiplication"

Connected through hyperedge HE-5 (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"
    - "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"
    - "new lower bounds for the rank of matrix multiplication"

Connected through hyperedge HE-6 (induced by source paper "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"):
  with members:
    - "new lower bounds for the border rank of matrix multiplication"

Connected through hyperedge HE-7 (induced by source paper "new lower bounds for the border rank of matrix multiplication"):
  with members:
    - "powers of tensors and fast matrix multiplication"
    - "explicit lower bounds via geometric complexity theory"
    - "new lower bounds for the rank of matrix multiplication"
    - "explicit tensors of border rank at least 2n 1"

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)