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: "new lower bounds for the rank of matrix multiplication"
  Abstract: The rank of the matrix multiplication operator for nxn matrices is one of the most studied quantities in algebraic complexity theory. I prove that the rank is at least n^2-o(n^2). More precisely, for any integer p\leq n -1, the rank is at least (3- 1/(p+1))n^2-(1+2p\binom{2p}{p-1})n. The previous lower bound, due to Blaser, was 5n^2/2-3n (the case p=1). #R##N#The new bounds improve Blaser's bound for all n>84. I also prove lower bounds for rectangular matrices significantly better than the the previous bound.

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"
    - "equations for lower bounds on border rank"
    - "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 "designing strassen s algorithm"):
  with members:
    - "strassen s 2x2 matrix multiplication algorithm a conceptual perspective"
    - "the geometry of rank decompositions of matrix multiplication i 2x2 matrices"
    - "matrix multiplication algorithms from group orbits"
    - "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"
    - "symmetries of matrix multiplication algorithms i"
    - "powers of tensors and fast matrix multiplication"
    - "on symmetries of the strassen algorithm"
    - "geometric complexity theory and tensor rank"

Connected through hyperedge HE-3 (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"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-4 (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"

Connected through hyperedge HE-5 (induced by source paper "improving the numerical stability of fast matrix multiplication"):
  with members:
    - "a framework for practical parallel fast matrix multiplication"
    - "powers of tensors and fast matrix multiplication"
    - "communication optimal parallel algorithm for strassen s matrix multiplication"

Connected through hyperedge HE-6 (induced by source paper "improving the numerical stability of fast matrix multiplication algorithms"):
  with members:
    - "a framework for practical parallel fast matrix multiplication"
    - "powers of tensors and fast matrix multiplication"
    - "communication optimal parallel algorithm for strassen s matrix multiplication"

Connected through hyperedge HE-7 (induced by source paper "efficiency of matrix multiplication on the cross wired mesh array"):
  with members:
    - "on the mesh array for matrix multiplication"

Connected through hyperedge HE-8 (induced by source paper "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "unifying known lower bounds via geometric complexity theory"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "arithmetic circuits the chasm at depth four gets wider"
    - "the multivariate resultant is np hard in any characteristic"
    - "geometric complexity theory vi the flip via saturated and positive integer programming in representation theory and algebraic geometry"

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)