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: "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
  Abstract: Certificates to a linear algebra computation are additional data structures for each output, which can be used by a-possibly randomized- verification algorithm that proves the correctness of each output. In this paper, we give an algorithm that compute a certificate for the minimal polynomial of sparse or structured n x n matrices over an abstract field, of sufficiently large cardinality, whose Monte Carlo verification complexity requires a single matrix-vector multiplication and a linear number of extra field operations. We also propose a novel preconditioner that ensures irreducibility of the characteristic polynomial of the preconditioned matrix. This preconditioner takes linear time to be applied and uses only two random entries. We then combine these two techniques to give algorithms that compute certificates for the determinant, and thus for the characteristic polynomial, whose Monte Carlo verification complexity is therefore also linear.

Connected through hyperedge HE-1 (induced by source paper "elimination based certificates for triangular equivalence and rank profiles"):
  with members:
    - "fast computation of the rank profile matrix and the generalized bruhat decomposition"
    - "essentially optimal interactive certificates in linear algebra"
    - "simultaneous computation of the row and column rank profiles"
    - "fast matrix rank algorithms and applications"
    - "rank profile revealing gaussian elimination and the cup matrix decomposition"

Connected through hyperedge HE-2 (induced by source paper "lu factorization with errors"):
  with members:
    - "error correction in fast matrix multiplication and inverse"
    - "what can and can t we do with sparse polynomials"
    - "certificates for triangular equivalence and rank profiles"
    - "efficiently correcting matrix products"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"
    - "parallel computation of echelon forms"
    - "simultaneous computation of the row and column rank profiles"

Connected through hyperedge HE-3 (induced by source paper "error correction in fast matrix multiplication and inverse"):
  with members:
    - "certificates for triangular equivalence and rank profiles"
    - "efficiently correcting matrix products"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"
    - "faster sparse multivariate polynomial interpolation of straight line programs"
    - "faster polynomial multiplication over finite fields"
    - "faster algorithms for rectangular matrix multiplication"
    - "fast matrix rank algorithms and applications"

Connected through hyperedge HE-4 (induced by source paper "certification of minimal approximant bases"):
  with members:
    - "certificates for triangular equivalence and rank profiles"
    - "fast computation of minimal interpolation bases in popov form for arbitrary shifts"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"

Connected through hyperedge HE-5 (induced by source paper "certificates for triangular equivalence and rank profiles"):
  with members:
    - "fast computation of the rank profile matrix and the generalized bruhat decomposition"
    - "computing the rank profile matrix"
    - "essentially optimal interactive certificates in linear algebra"
    - "simultaneous computation of the row and column rank profiles"
    - "fast matrix rank algorithms and applications"
    - "rank profile revealing gaussian elimination and the cup matrix decomposition"

Connected through hyperedge HE-6 (induced by source paper "selecting algorithms for black box matrices checking for matrix properties that can simplify computations"):
  with members:
    - "essentially optimal interactive certificates in linear algebra"

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.SC(Symbolic Computation)