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: "computing the independence polynomial in shearer s region for the lll"
  Abstract: The independence polynomial has been widely studied in algebraic graph theory, in statistical physics, and in algorithms for counting and sampling problems. Seminal results of Weitz (2006) and Sly (2010) have shown the that the computational complexity of approximating the independence polynomial with positive activities is tightly linked to a uniqueness phase transition for a Gibbs measure. #R##N#We study algorithms for approximating the independence polynomial with negative and complex arguments. The independence polynomial with complex arguments may not have a counting interpretation, but it does have strong connections to combinatorics and to statistical physics. The independence polynomial with negative arguments determines the maximal region of probabilities to which the Lov\'{a}sz Local Lemma (LLL) can be extended, and also gives a lower bound on the probability in the LLL's conclusion (Shearer 1985). In statistical physics, complex (and negative) zeros of the independence polynomial relate to existence of phase transitions (Penrose 1963). #R##N#Whereas many algorithms for computing combinatorial polynomials are restricted to the univariate setting, we consider the multivariate independence polynomial, since there is a natural multivariate region of interest -- Shearer's region for the LLL. Our main result is: for any $n$-vertex graph of degree at most $d$, any $\alpha \in (0,1]$, and any complex vector $p$ such that $(1+\alpha) \cdot p$ lies in Shearer's region, there is a deterministic algorithm to approximate the independence polynomial at $p$ within $(1+\epsilon)$ multiplicative error and with runtime $(\frac{n}{\epsilon \alpha})^{O(\log(d)/\alpha)}$. Our results also extend to graphs of unbounded degree that have a bounded connective constant. #R##N#We also give hardness results addressing the dependence of the runtime of the algorithm on the above parameters.

Connected through hyperedge HE-1 (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"
    - "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"
    - "partial resampling to approximate covering integer programs"

Connected through hyperedge HE-2 (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"
    - "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"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"

Connected through hyperedge HE-3 (induced by source paper "the algorithmic lll and the witness tree lemma"):
  with members:
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "partial resampling to approximate covering integer programs"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"

Connected through hyperedge HE-4 (induced by source paper "inapproximability of the independent set polynomial in the complex plane"):
  with members:
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "the complexity of approximating complex valued ising and tutte partition functions"

Connected through hyperedge HE-5 (induced by source paper "approximating the largest root and applications to interlacing families"):
  with members:
    - "ramanujan graphs in polynomial time"

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 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"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-7 (induced by source paper "inapproximability of the independent set polynomial below the shearer threshold"):
  with members:
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "the complexity of computing the sign of the tutte polynomial"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "correlation decay up to uniqueness in spin systems"
    - "computational transition at the uniqueness threshold"

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)