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: "approximation algorithms and hardness of the k route cut problem"
  Abstract: We study the k-route cut problem: given an undirected edge-weighted graph G=(V,E), a collection {(s_1,t_1),(s_2,t_2),...,(s_r,t_r)} of source-sink pairs, and an integer connectivity requirement k, the goal is to find a minimum-weight subset E' of edges to remove, such that the connectivity of every pair (s_i, t_i) falls below k. Specifically, in the edge-connectivity version, EC-kRC, the requirement is that there are at most (k-1) edge-disjoint paths connecting s_i to t_i in G \ E', while in the vertex-connectivity version, NC-kRC, the same requirement is for vertex-disjoint paths. Prior to our work, poly-logarithmic approximation algorithms have been known for the special case where k >= 3, but no non-trivial approximation algorithms were known for any value k>3, except in the single-source setting. We show an O(k log^{3/2}r)-approximation algorithm for EC-kRC with uniform edge weights, and several polylogarithmic bi-criteria approximation algorithms for EC-kRC and NC-kRC, where the connectivity requirement k is violated by a constant factor. We complement these upper bounds by proving that NC-kRC is hard to approximate to within a factor of k^{eps} for some fixed eps>0. #R##N#We then turn to study a simpler version of NC-kRC, where only one source-sink pair is present. We give a simple bi-criteria approximation algorithm for this case, and show evidence that even this restricted version of the problem may be hard to approximate. For example, we prove that the single source-sink pair version of NC-kRC has no constant-factor approximation, assuming Feige's Random k-AND assumption.

Connected through hyperedge HE-1 (induced by source paper "downgrading to minimize connectivity"):
  with members:
    - "improved algorithms for mst and metric tsp interdiction"
    - "hardness and approximation for network flow interdiction"
    - "simple and fast rounding algorithms for directed and node weighted multiway cut"
    - "an o 1 approximation for minimum spanning tree interdiction"
    - "improved region growing and combinatorial algorithms for k route cut problems"
    - "multiway cut pairwise realizable distributions and descending thresholds"

Connected through hyperedge HE-2 (induced by source paper "a note on degree vs gap of min rep label cover and improved inapproximability for connectivity problems"):
  with members:
    - "eth hardness of approximating 2 csps and directed steiner network"
    - "approximation of non boolean 2csp"
    - "parameters of two prover one round game and the hardness of connectivity problems"
    - "an o k 3 log n approximation algorithm for vertex connectivity survivable network design"

Connected through hyperedge HE-3 (induced by source paper "sum of squares lower bounds for refuting any csp"):
  with members:
    - "lower bounds for csp refutation by sdp hierarchies"
    - "the backtracking survey propagation algorithm for solving random k sat problems"
    - "strongly refuting random csps below the spectral threshold"
    - "how to refute a random csp"
    - "noisy tensor completion via the sum of squares hierarchy"
    - "complexity theoretic limitations on learning halfspaces"
    - "sum of squares lower bounds from pairwise independence"
    - "lower bounds on the size of semidefinite programming relaxations"

Connected through hyperedge HE-4 (induced by source paper "improved approximation algorithm for the dense 3 subhypergraph problem"):
  with members:
    - "improved approximation algorithms for projection games"
    - "almost polynomial ratio eth hardness of approximating densest k subgraph"
    - "minimizing the union tight approximations for small set bipartite vertex expansion"
    - "the densest k subhypergraph problem"
    - "dial a ride from k forest"

Connected through hyperedge HE-5 (induced by source paper "almost polynomial ratio eth hardness of approximating densest k subgraph"):
  with members:
    - "settling the complexity of computing approximate two player nash equilibria"
    - "inapproximability results for approximate nash equilibria"
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "partitioning a graph into small pieces with applications to path transversal"
    - "combining traditional marketing and viral marketing with amphibious influence maximization"
    - "eth hardness for densest k subgraph with perfect completeness"
    - "eth hardness for signaling in symmetric zero sum games"
    - "approximating dense max 2 csps"

Connected through hyperedge HE-6 (induced by source paper "the densest k subhypergraph problem"):
  with members:
    - "approximation algorithms for hypergraph small set expansion and small set vertex expansion"
    - "the complexity of approximating vertex expansion"
    - "approximating semi matchings in streaming and in two party communication"
    - "everywhere sparse spanners via dense subgraphs"
    - "small approximate pareto sets for bi objective shortest paths and other problems"
    - "dial a ride from k forest"

Connected through hyperedge HE-7 (induced by source paper "a birthday repetition theorem and complexity of approximating dense csps"):
  with members:
    - "sub exponential approximation schemes for csps from dense to almost sparse"
    - "on the hardness of signaling"
    - "am with multiple merlins"
    - "label cover instances with large girth and the hardness of approximating basic k spanner"
    - "hypercontractivity sum of squares proofs and their applications"
    - "subsampling mathematical relaxations and average case complexity"

Connected through hyperedge HE-8 (induced by source paper "approximation algorithms for multi multiway cut and multicut problems on directed graphs"):
  with members:
    - "rounding algorithms for a geometric embedding of minimum multiway cut"

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)