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 constructive proof of the lovasz local lemma"
  Abstract: The Lovasz Local Lemma [EL75] is a powerful tool to prove the existence of combinatorial objects meeting a prescribed collection of criteria. The technique can directly be applied to the satisfiability problem, yielding that a k-CNF formula in which each clause has common variables with at most 2^(k-2) other clauses is always satisfiable. All hitherto known proofs of the Local Lemma are non-constructive and do thus not provide a recipe as to how a satisfying assignment to such a formula can be efficiently found. In his breakthrough paper [Bec91], Beck demonstrated that if the neighbourhood of each clause be restricted to O(2^(k/48)), a polynomial time algorithm for the search problem exists. Alon simplified and randomized his procedure and improved the bound to O(2^(k/8)) [Alo91]. Srinivasan presented in [Sri08] a variant that achieves a bound of essentially O(2^(k/4)). In [Mos08], we improved this to O(2^(k/2)). In the present paper, we give a randomized algorithm that finds a satisfying assignment to every k-CNF formula in which each clause has a neighbourhood of at most the asymptotic optimum of 2^(k-5)-1 other clauses and that runs in expected time polynomial in the size of the formula, irrespective of k. If k is considered a constant, we can also give a deterministic variant. In contrast to all previous approaches, our analysis does not anymore invoke the standard non-constructive versions of the Local Lemma and can therefore be considered an alternative, constructive proof of it.

Connected through hyperedge HE-1 (induced by source paper "computational concentration of measure optimal bounds reductions and more"):
  with members:
    - "sever a robust meta algorithm for stochastic optimization"
    - "agnostic estimation of mean and covariance"
    - "robust estimators in high dimensions without the computational intractability"
    - "towards evaluating the robustness of neural networks"
    - "adaptively secure coin flipping revisited"
    - "deepfool a simple and accurate method to fool deep neural networks"
    - "deterministic randomness extraction from generalized and distributed santha vazirani sources"
    - "intriguing properties of neural networks"

Connected through hyperedge HE-2 (induced by source paper "beyond the lovasz local lemma point to set correlations and their algorithmic applications"):
  with members:
    - "a local lemma for focused stochastic algorithms"
    - "commutative algorithms approximate the lll distribution"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "commutativity in the algorithmic lovasz local lemma"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "entropy compression method applied to graph colorings"
    - "application of entropy compression in pattern avoidance"

Connected through hyperedge HE-3 (induced by source paper "commutative algorithms approximate the lll distribution"):
  with members:
    - "a new perspective on stochastic local search and the lovasz local lemma"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "computing the independence polynomial in shearer s region for the lll"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "commutativity in the algorithmic lovasz local lemma"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"

Connected through hyperedge HE-4 (induced by source paper "interactions of computational complexity theory and mathematics"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "uniform sampling through the lov asz local lemma"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "graph isomorphism in quasipolynomial time"
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "analysis of boolean functions"

Connected through hyperedge HE-5 (induced by source paper "computing the independence polynomial in shearer s region for the lll"):
  with members:
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "fptas for bis with degree bounds on one side"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "spatial mixing and the connective constant optimal bounds"
    - "fptas for counting monotone cnf"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"

Connected through hyperedge HE-6 (induced by source paper "approximate counting the lovasz local lemma and inference in graphical models"):
  with members:
    - "uniform sampling through the lov asz local lemma"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "computing the independence polynomial in shearer s region for the lll"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "commutativity in the algorithmic lovasz local lemma"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "fptas for counting monotone cnf"

Connected through hyperedge HE-7 (induced by source paper "two stage algorithms for covering array construction"):
  with members:
    - "new constructive aspects of the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-8 (induced by source paper "an algorithmic proof of the lovasz local lemma via resampling oracles"):
  with members:
    - "on the algorithmic lov asz local lemma and acyclic edge coloring"
    - "new constructive aspects of the lovasz local lemma"
    - "deterministic algorithms for the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

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)