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: "an approximation algorithm for k sat"
  Abstract: We present a simple randomized algorithm that approximates the number of satisfying assignments of Boolean formulas in conjunctive normal form. To the best of our knowledge this is the first algorithm which approximates #k-SAT for any k >= 3 within a running time that is not only non-trivial, but also significantly better than that of the currently fastest exact algorithms for the problem. More precisely, our algorithm is a randomized approximation scheme whose running time depends polynomially on the error tolerance and is mildly exponential in the number n of variables of the input formula. For example, even stipulating sub-exponentially small error tolerance, the number of solutions to 3-CNF input formulas can be approximated in time O(1.5366^n). For 4-CNF input the bound increases to O(1.6155^n). #R##N#We further show how to obtain upper and lower bounds on the number of solutions to a CNF formula in a controllable way. Relaxing the requirements on the quality of the approximation, on k-CNF input we obtain significantly reduced running times in comparison to the above bounds.

Connected through hyperedge HE-1 (induced by source paper "fine grained reductions from approximate counting to decision"):
  with members:
    - "edge estimation with independent set oracles"
    - "clustered integer 3sum via additive combinatorics"
    - "faster all pairs shortest paths via circuit complexity"
    - "exploiting independent subformulas a faster approximation scheme for k sat"
    - "the relative exponential time complexity of approximate counting satisfying assignments"
    - "a satisfiability algorithm for ac 0"
    - "3 sat faster and simpler unique sat bounds for ppsz hold in general"

Connected through hyperedge HE-2 (induced by source paper "high dimensional discrete integration over the hypergrid"):
  with members:
    - "distribution aware sampling and weighted model counting for sat"
    - "taming the curse of dimensionality discrete integration by hashing and optimization"
    - "optimization with parity constraints from binary codes to discrete integration"
    - "approximating the partition function of the ferromagnetic potts model"
    - "the good old davis putnam procedure helps counting models"

Connected through hyperedge HE-3 (induced by source paper "high dimensional discrete integration by hashing and optimization"):
  with members:
    - "optimization with parity constraints from binary codes to discrete integration"

Connected through hyperedge HE-4 (induced by source paper "exploiting independent subformulas a faster approximation scheme for k sat"):
  with members:
    - "a satisfiability algorithm for ac 0"
    - "3 sat faster and simpler unique sat bounds for ppsz hold in general"
    - "derandomizing hssw algorithm for 3 sat"

Connected through hyperedge HE-5 (induced by source paper "the relative exponential time complexity of approximate counting satisfying assignments"):
  with members:
    - "taming the curse of dimensionality discrete integration by hashing and optimization"
    - "a satisfiability algorithm for ac 0"

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.DS(Data Structures and Algorithms)