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: "faster exact and approximate algorithms for k cut"
  Abstract: In the $k$-cut problem, we are given an edge-weighted graph $G$ and an integer $k$, and have to remove a set of edges with minimum total weight so that $G$ has at least $k$ connected components. The current best algorithms are an $O(n^{(2-o(1))k})$ randomized algorithm due to Karger and Stein, and an $\smash{\tilde{O}}(n^{2k})$ deterministic algorithm due to Thorup. Moreover, several $2$-approximation algorithms are known for the problem (due to Saran and Vazirani, Naor and Rabani, and Ravi and Sinha). #R##N#It has remained an open problem to (a) improve the runtime of exact algorithms, and (b) to get better approximation algorithms. In this paper we show an $O(k^{O(k)} \, n^{(2\omega/3 + o(1))k})$-time algorithm for $k$-cut. Moreover, we show an $(1+\epsilon)$-approximation algorithm that runs in time $O((k/\epsilon)^{O(k)} \,n^{k + O(1)})$, and a $1.81$-approximation in fixed-parameter time $O(2^{O(k^2)}\,\text{poly}(n))$.

Connected through hyperedge HE-1 (induced by source paper "parameterized inapproximability for steiner orientation by gap amplification"):
  with members:
    - "tight fpt approximations for k median and k means"
    - "constant factor fpt approximation for capacitated k median"
    - "from gap eth to fpt inapproximability clique dominating set and more"
    - "completely inapproximable monotone and antimonotone parameterized problems"
    - "almost polynomial ratio eth hardness of approximating densest k subgraph"
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "directed multicut is w 1 hard even for four terminal pairs"
    - "the parameterized complexity of k biclique"

Connected through hyperedge HE-2 (induced by source paper "the number of minimum k cuts improving the karger stein bound"):
  with members:
    - "lp relaxation and tree packing for minimum k cuts"
    - "fast and deterministic approximations 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-3 (induced by source paper "inapproximability within w 1 the case of steiner orientation"):
  with members:
    - "tight fpt approximations for k median and k means"
    - "constant factor fpt approximation for capacitated k median"
    - "from gap eth to fpt inapproximability clique dominating set and more"
    - "completely inapproximable monotone and antimonotone parameterized problems"
    - "directed multicut is w 1 hard even for four terminal pairs"
    - "the parameterized complexity of k biclique"
    - "steiner forest orientation problems"
    - "multicut is fpt"

Connected through hyperedge HE-4 (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"
    - "lp relaxation and tree packing for minimum k cuts"
    - "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-5 (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"
    - "lp relaxation and tree packing for minimum k cuts"

Connected through hyperedge HE-6 (induced by source paper "fast and deterministic approximations for k cut"):
  with members:
    - "lp relaxation and tree packing for minimum k cuts"
    - "on approximating sparse covering integer programs"
    - "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"

Connected through hyperedge HE-7 (induced by source paper "lp relaxation and tree packing for minimum k cuts"):
  with members:
    - "fast and deterministic approximations for k cut"
    - "deterministic global minimum cut of a simple graph in near linear time"
    - "minimum cuts in near linear time"

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)