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: "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
  Abstract: The Lov\'{a}sz Local Lemma (LLL) is a cornerstone principle in the probabilistic method of combinatorics, and a seminal algorithm of Moser & Tardos (2010) provides an efficient randomized algorithm to implement it. This can be parallelized to give an algorithm that uses polynomially many processors and runs in $O(\log^3 n)$ time on an EREW PRAM, stemming from $O(\log n)$ adaptive computations of a maximal independent set (MIS). Chung et al. (2014) developed faster local and parallel algorithms, potentially running in time $O(\log^2 n)$, but these algorithms require more stringent conditions than the LLL. #R##N#We give a new parallel algorithm that works under essentially the same conditions as the original algorithm of Moser & Tardos but uses only a single MIS computation, thus running in $O(\log^2 n)$ time on an EREW PRAM. This can be derandomized to give an NC algorithm running in time $O(\log^2 n)$ as well, speeding up a previous NC LLL algorithm of Chandrasekaran et al. (2013). #R##N#We also provide improved and tighter bounds on the run-times of the sequential and parallel resampling-based algorithms originally developed by Moser & Tardos. These apply to any problem instance in which the tighter Shearer LLL criterion is satisfied.

Connected through hyperedge HE-1 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "algorithmic pirogov sinai theory"
    - "counting hypergraph colorings in the local lemma regime"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "a faster approximation algorithm for the gibbs partition function"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "new constructive aspects of the lovasz local lemma"

Connected through hyperedge HE-2 (induced by source paper "deterministic algorithms for the lovasz local lemma simpler more general and more parallel"):
  with members:
    - "algorithms for weighted independent transversals and strong colouring"
    - "deterministic parallel algorithms for bilinear objective functions"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "deterministic parallel algorithms for fooling polylogarithmic juntas and the lovasz local lemma"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "new constructive aspects of the lovasz local lemma"
    - "deterministic algorithms for the lovasz local lemma"

Connected through hyperedge HE-3 (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"
    - "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"
    - "new constructive aspects of the lovasz local lemma"

Connected through hyperedge HE-4 (induced by source paper "derandomizing the lovasz local lemma via log space statistical tests"):
  with members:
    - "deterministic parallel algorithms for bilinear objective functions"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "deterministic parallel algorithms for fooling polylogarithmic juntas and the lovasz local lemma"

Connected through hyperedge HE-5 (induced by source paper "a time hierarchy theorem for the local model"):
  with members:
    - "the complexity of distributed edge coloring with small palettes"
    - "lcl problems on grids"
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "polynomial lower bound for distributed graph coloring in a weak local model"
    - "distributed degree splitting edge coloring and orientations"
    - "survey of distributed decision"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "on the complexity of local distributed graph problems"

Connected through hyperedge HE-6 (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"
    - "partial resampling to approximate covering integer programs"

Connected through hyperedge HE-7 (induced by source paper "on derandomizing local distributed algorithms"):
  with members:
    - "the complexity of distributed edge coloring with small palettes"
    - "parallel algorithms for the lopsided lovasz local lemma"
    - "deterministic distributed edge coloring with fewer colors"
    - "deterministic distributed edge coloring via hypergraph maximal matching"
    - "a time hierarchy theorem for the local model"
    - "distributed degree splitting edge coloring and orientations"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "on the complexity of local distributed graph problems"

Connected through hyperedge HE-8 (induced by source paper "variable version lov asz local lemma beyond shearer s bound"):
  with members:
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "deterministic parallel algorithms for fooling polylogarithmic juntas and the lovasz local lemma"
    - "uniform sampling through the lov asz local lemma"
    - "computing the independence polynomial in shearer s region for the lll"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "focused stochastic local search and the lov asz local lemma"
    - "commutativity in the algorithmic lovasz local lemma"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"

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.DM(Discrete Mathematics)