human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "extensions of the algorithmic lovasz local lemma"):
  Abstract: We consider recent formulations of the algorithmic Lovasz Local Lemma by Achlioptas-Iliopoulos-Kolmogorov [2] and by Achlioptas-Iliopoulos-Sinclair [3]. These papers analyze a random walk algorithm for finding objects that avoid undesired "bad events" (or "flaws"), and prove that under certain conditions the algorithm is guaranteed to find a "flawless" object quickly. We show that conditions proposed in these papers are incomparable, and introduce a new family of conditions that includes those in [2, 3] as special cases. #R##N#Secondly, we extend our previous notion of "commutativity" in [15] to this more general setting, and prove that it allows to use an arbitrary strategy for selecting the next flaw to address. In the special case of primary flaws we prove a stronger property: the flaw selection strategy does not affect at all the expected number of steps until termination, and also does not affect the distribution induced by the algorithm upon termination. This applies, in particular, to the single-clause backtracking algorithm for constraint satisfaction problems considered in [3].

Includes members:
  Member "beyond the lovasz local lemma point to set correlations and their algorithmic applications":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "oblivious resampling oracles and parallel algorithms for the lopsided lovasz local lemma")
  Member "a local lemma for focused stochastic algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "beyond the lovasz local lemma point to set correlations and their algorithmic applications")
  Member "commutative algorithms approximate the lll distribution":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "beyond the lovasz local lemma point to set correlations and their algorithmic applications")
  Member "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "deterministic algorithms for the lovasz local lemma simpler more general and more parallel")
  Member "commutativity in the algorithmic lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "beyond the lovasz local lemma point to set correlations and their algorithmic applications")
  Member "an algorithmic proof of the lovasz local lemma via resampling oracles":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "dynamic sampling from graphical models")
  Member "deterministic algorithms for the lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "counting solutions to random cnf formulas")
  Member "a constructive proof of the general lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "scattering and sparse partitions and their applications")

Question: Please tell me which class the source paper 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)