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: "lp relaxation and tree packing for minimum k cuts"
  Abstract: Karger used spanning tree packings to derive a near linear-time randomized algorithm for the global minimum cut problem as well as a bound on the number of approximate minimum cuts. This is a different approach from his well-known random contraction algorithm. Thorup developed a fast deterministic algorithm for the minimum $k$-cut problem via greedy recursive tree packings. #R##N#In this paper we revisit properties of an LP relaxation for $k$-cut proposed by Naor and Rabani, and analyzed by Chekuri, Guha and Naor. We show that the dual of the LP yields a tree packing, that when combined with an upper bound on the integrality gap for the LP, easily and transparently extends Karger's analysis for mincut to the $k$-cut problem. In addition to the simplicity of the algorithm and its analysis, this allows us to improve the running time of Thorup's algorithm by a factor of $n$. We also improve the bound on the number of $\alpha$-approximate $k$-cuts. Second, we give a simple proof that the integrality gap of the LP is $2(1-1/n)$. Third, we show that an optimum solution to the LP relaxation, for all values of $k$, is fully determined by the principal sequence of partitions of the input graph. This allows us to relate the LP relaxation to the Lagrangian relaxation approach of Barahona and Ravi and Sinha; it also shows that the idealized recursive tree packing considered by Thorup gives an optimum dual solution to the LP. This work arose from an effort to understand and simplify the results of Thorup.

Connected through hyperedge HE-1 (induced by source paper "the number of minimum k cuts improving the karger stein bound"):
  with members:
    - "fast and deterministic approximations for k cut"
    - "faster exact and approximate algorithms for k cut"
    - "an fpt algorithm beating 2 approximation for k cut"
    - "if the current clique algorithms are optimal so is valiant s parser"
    - "powers of tensors and fast matrix multiplication"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "minimum k way cut of bounded size is fixed parameter tractable"
    - "tight approximation ratio of a general greedy splitting algorithm for the minimum k way cut problem"

Connected through hyperedge HE-2 (induced by source paper "faster minimum k cut of a simple graph"):
  with members:
    - "the number of minimum k cuts improving the karger stein bound"
    - "faster exact and approximate algorithms for k cut"
    - "local flow partitioning for faster edge connectivity"
    - "if the current clique algorithms are optimal so is valiant s parser"
    - "powers of tensors and fast matrix multiplication"
    - "deterministic edge connectivity in near linear time"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "tight approximation ratio of a general greedy splitting algorithm for the minimum k way cut problem"

Connected through hyperedge HE-3 (induced by source paper "the karger stein algorithm is optimal for k cut"):
  with members:
    - "the number of minimum k cuts improving the karger stein bound"
    - "faster minimum k cut of a simple graph"
    - "faster exact and approximate algorithms for k cut"

Connected through hyperedge HE-4 (induced by source paper "fast and deterministic approximations for k cut"):
  with members:
    - "on approximating sparse covering integer programs"
    - "faster exact and approximate algorithms for k cut"
    - "fast approximations for metric tsp via linear programming"
    - "an fpt algorithm beating 2 approximation for k cut"
    - "approximating the held karp bound for metric tsp in nearly linear time"
    - "deterministic global minimum cut of a simple graph in near linear time"
    - "nearly linear time approximation schemes for mixed packing covering and facility location linear programs"
    - "designing fpt algorithms for cut problems using randomized contractions"

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)