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 complexity of the f5 gr obner basis algorithm"
  Abstract: We study the complexity of Gr\"obner bases computation, in particular in the generic situation where the variables are in simultaneous Noether position with respect to the system. #R##N#We give a bound on the number of polynomials of degree $d$ in a Gr\"obner basis computed by Faug\`ere's $F_5$ algorithm~(Fau02) in this generic case for the grevlex ordering (which is also a bound on the number of polynomials for a reduced Gr\"obner basis, independently of the algorithm used). Next, we analyse more precisely the structure of the polynomials in the Gr\"obner bases with signatures that $F_5$ computes and use it to bound the complexity of the algorithm. #R##N#Our estimates show that the version of~$F_5$ we analyse, which uses only standard Gaussian elimination techniques, outperforms row reduction of the Macaulay matrix with the best known algorithms for moderate degrees, and even for degrees up to the thousands if Strassen's multiplication is used. The degree being fixed, the factor of improvement grows exponentially with the number of variables.

Connected through hyperedge HE-1 (induced by source paper "on affine tropical f5 algorithms"):
  with members:
    - "matrix f5 algorithms and tropical grobner bases computation"
    - "matrix f5 algorithms over finite precision complete discrete valuation fields"

Connected through hyperedge HE-2 (induced by source paper "matrix f5 algorithms and tropical grobner bases computation"):
  with members:
    - "matrix f5 algorithms over finite precision complete discrete valuation fields"

Connected through hyperedge HE-3 (induced by source paper "matrix f5 algorithms over finite precision complete discrete valuation fields"):
  with members:
    - "on the p adic stability of the fglm algorithm"
    - "matrix f5 algorithms and tropical grobner bases computation"
    - "polynomial systems solving by fast linear algebra"
    - "gr obner bases of bihomogeneous ideals generated by polynomials of bidegree 1 1 algorithms and complexity"

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)