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: "a log n omega 1 integrality gap for the sparsest cut sdp"
  Abstract: We show that the Goemans-Linial semidefinite relaxation of the Sparsest Cut problem with general demands has integrality gap $(\log n)^{\Omega(1)}$. This is achieved by exhibiting $n$-point metric spaces of negative type whose $L_1$ distortion is $(\log n)^{\Omega(1)}$. Our result is based on quantitative bounds on the rate of degeneration of Lipschitz maps from the Heisenberg group to $L_1$ when restricted to cosets of the center.

Connected through hyperedge HE-1 (induced by source paper "strong reductions for extended formulations"):
  with members:
    - "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps"
    - "the matching polytope does not admit fully polynomial size relaxation schemes"
    - "extension complexity mso logic and treewidth"
    - "no small linear program approximates vertex cover within a factor 2 epsilon"
    - "lower bounds on the size of semidefinite programming relaxations"
    - "approximate constraint satisfaction requires large lp relaxations"
    - "sparsest cut on bounded treewidth graphs algorithms and hardness results"
    - "the matching polytope has exponential extension complexity"

Connected through hyperedge HE-2 (induced by source paper "embedding approximately low dimensional ell_2 2 metrics into ell_1"):
  with members:
    - "guruswami sinop rounding without higher level lasserre"
    - "improved arv rounding in small set expanders and graphs of bounded threshold rank"
    - "improved cheeger s inequality analysis of spectral partitioning algorithms through higher order spectral gap"
    - "rounding semidefinite programming hierarchies via global correlation"
    - "approximating non uniform sparsest cut via generalized spectra"

Connected through hyperedge HE-3 (induced by source paper "guruswami sinop rounding without higher level lasserre"):
  with members:
    - "rounding lasserre sdps using column selection and spectrum based approximation schemes for graph partitioning and quadratic ips"
    - "towards a better approximation for sparsest cut"
    - "faster sdp hierarchy solvers for local rounding algorithms"
    - "approximating non uniform sparsest cut via generalized spectra"
    - "optimal column based low rank matrix reconstruction"

Connected through hyperedge HE-4 (induced by source paper "bilu linial stable instances of max cut and minimum multiway cut"):
  with members:
    - "on the practically interesting instances of maxcut"
    - "clustering under perturbation resilience"
    - "data stability in clustering a closer look"
    - "center based clustering under perturbation stability"
    - "parallel repetition simplification and the no signaling case"
    - "are stable instances easy"

Connected through hyperedge HE-5 (induced by source paper "sparsest cut on bounded treewidth graphs algorithms and hardness results"):
  with members:
    - "constant factor lasserre integrality gaps for graph partitioning problems"
    - "approximating sparsest cut in graphs of bounded treewidth"
    - "flow cut gaps for integer and fractional multiflows"

Connected through hyperedge HE-6 (induced by source paper "a prg for lipschitz functions of polynomials with applications to sparsest cut"):
  with members:
    - "a small prg for polynomial threshold functions of gaussians"
    - "k independent gaussians fool polynomial threshold functions"
    - "bounded independence fools halfspaces"
    - "pseudorandom generators for polynomial threshold functions"
    - "bounded independence fools degree 2 threshold functions"

Connected through hyperedge HE-7 (induced by source paper "min max graph partitioning and small set expansion"):
  with members:
    - "vertex sparsifiers new results from old techniques"
    - "metric extension operators vertex sparsifiers and lipschitz extendability"
    - "reductions between expansion problems"
    - "rounding algorithms for a geometric embedding of minimum multiway cut"

Connected through hyperedge HE-8 (induced by source paper "approximating sparsest cut in graphs of bounded treewidth"):
  with members:
    - "integrality gaps of linear and semi definite programming relaxations for knapsack"
    - "flow cut gaps for integer and fractional multiflows"

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)