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: "on the hardness of the noncommutative determinant"
  Abstract: In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutative determinant polynomial. Then, more generally, we also examine the complexity of computing the determinant (as a function) over noncommutative domains. Our hardness results are summarized below: #R##N#1. We show that if the noncommutative determinant polynomial has small noncommutative arithmetic circuits then so does the noncommutative permanent. Consequently, the commutative permanent polynomial has small commutative arithmetic circuits. 2. For any field F we show that computing the n X n permanent over F is polynomial-time reducible to computing the 2n X 2n (noncommutative) determinant whose entries are O(n^2) X O(n^2) matrices over the field F. 3. We also derive as a consequence that computing the n X n permanent over nonnegative rationals is polynomial-time reducible to computing the noncommutative determinant over Clifford algebras of n^{O(1)} dimension. #R##N#Our techniques are elementary and use primarily the notion of the Hadamard Product of noncommutative polynomials.

Connected through hyperedge HE-1 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "almost settling the hardness of noncommutative determinant"
    - "counting paths and packings in halves"
    - "arithmetic circuits and the hadamard product of polynomials"

Connected through hyperedge HE-2 (induced by source paper "fast exact algorithms using hadamard product of polynomials"):
  with members:
    - "homogeneous formulas and symmetric polynomials"
    - "arithmetic circuits and the hadamard product of polynomials"
    - "balanced families of perfect hash functions and their applications"

Connected through hyperedge HE-3 (induced by source paper "a note on polynomial identity testing for depth 3 circuits"):
  with members:
    - "subexponential size hitting sets for bounded depth multilinear formulas"

Connected through hyperedge HE-4 (induced by source paper "some lower bound results for set multilinear arithmetic computations"):
  with members:
    - "hitting sets for roabp and sum of set multilinear circuits"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

Connected through hyperedge HE-5 (induced by source paper "noncommutative valiant s classes structure and complete problems"):
  with members:
    - "the complexity of the fermionant and immanants of constant width"
    - "arithmetic circuits and the hadamard product of polynomials"

Connected through hyperedge HE-6 (induced by source paper "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"):
  with members:
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "better pseudorandom generators from milder pseudorandom restrictions"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "almost settling the hardness of noncommutative determinant"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic black box identity testing pi ordered algebraic branching programs"

Connected through hyperedge HE-7 (induced by source paper "almost settling the hardness of noncommutative determinant"):
  with members:
    - "approximating the permanent via nonabelian determinants"

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)