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: "commutativity in the random walk formulation of the lovasz local lemma"
  Abstract: Recently, Achlioptas and Iliopoulos [1] proposed a new "Random Walk" framework for finding objects that avoid "bad features", or "flaws". It extends the Moser-Tardos resampling algorithm [12] to more general discrete spaces. At each step the method picks a flaw present in the current state and "resamples" it. However, it is less flexible than the Moser-Tardos method since [1] requires a specific flaw selection rule, whereas [12] allows an arbitrary rule (and thus can potentially be implemented more efficiently). #R##N#We formulate a new "commutativity" condition, and prove that it is sufficient for an arbitrary rule to work. It also enables an efficient parallelization under an additional assumption. We then show that existing resampling oracles for perfect matchings and permutations do satisfy this condition. Finally, we observe that the bound in [1] on the expected runtime of the algorithm can be improved in some cases.

Connected through hyperedge HE-1 (induced by source paper "stochastic control via entropy compression"):
  with members:
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "on the computational complexity of stochastic controller optimization in pomdps"
    - "the computational complexity of probabilistic planning"
    - "reinforcement learning a survey"

Connected through hyperedge HE-2 (induced by source paper "a constructive algorithm for the lll on permutations"):
  with members:
    - "new constructive aspects of the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-3 (induced by source paper "commutativity in the algorithmic lovasz local lemma"):
  with members:
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "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)