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 from the tree threshold down to the roots"
  Abstract: We study an algorithm for approximating the multivariate independence polynomial $Z(\mathbf{z})$, with negative and complex arguments, an object that has strong connections to combinatorics and to statistical physics. In particular, the independence polynomial with negative arguments, $Z(-\mathbf{p})$, determines the Shearer region, the maximal region of probabilities to which the Lovasz Local Lemma (LLL) can be extended (Shearer 1985). In statistical physics, complex zeros of the independence polynomial relate to existence of phase transitions. #R##N#Our main result is a deterministic algorithm to compute approximately the independence polynomial in any root-free complex polydisc centered at the origin. Our algorithm is essentially the same as Weitz's algorithm for positive parameters up to the tree uniqueness threshold, and the core of our analysis is a novel multivariate form of the correlation decay technique, which can handle non-uniform complex parameters. In particular, in the univariate real setting our work implies that Weitz's algorithm works in an interval between two critical points $(\lambda'_c(d), \lambda_c(d))$, and outside of this interval an approximation of $Z(\mathbf{z})$ is known to be NP-hard. #R##N#As an application, we give a sub-exponential time algorithm for testing approximate membership in the Shearer region. We also give a new rounding based deterministic algorithm for Shearer's lemma (an extension of the LLL), which, however, runs in sub-exponential time. On the hardness side, we prove that evaluating $Z(\mathbf{z})$ at an arbitrary point in Shearer's region, and testing membership in Shearer's region, are #P-hard problems. We also establish the best possible dependence of the exponent of the run time of Weitz's correlation decay technique in the negative regime on the distance to the boundary of the Shearer region.

Connected through hyperedge HE-1 (induced by source paper "spectral independence in high dimensional expanders and applications to the hardcore model"):
  with members:
    - "improved analysis of higher order random walks and applications"
    - "log concave polynomials ii high dimensional walks and an fpras for counting bases of a matroid"
    - "high dimensional random walks and colorful expansion"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "spatial mixing and the connective constant optimal bounds"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "improved bounds on the phase transition for the hard core model in 2 dimensions"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-2 (induced by source paper "dynamic sampling from graphical models"):
  with members:
    - "distributed symmetry breaking in sampling optimal distributed randomly coloring with fewer colors"
    - "a simple parallel and distributed sampling technique local glauber dynamics"
    - "tight bounds for popping algorithms"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "what can be sampled locally"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "uniform sampling through the lov asz local lemma"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"

Connected through hyperedge HE-3 (induced by source paper "algorithmic pirogov sinai theory"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "the ising partition function zeros and deterministic approximation"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "computing the number of induced copies of a fixed graph in a bounded degree graph"
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "fptas for bis with degree bounds on one side"

Connected through hyperedge HE-4 (induced by source paper "counting independent sets in graphs with bounded bipartite pathwidth"):
  with members:
    - "counting independent sets in cocomparability graphs"
    - "computing the partition function of a polynomial on the boolean cube"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "on the switch markov chain for perfect matchings"
    - "reconfiguring independent sets in claw free graphs"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-5 (induced by source paper "the complexity of approximating the matching polynomial in the complex plane"):
  with members:
    - "inapproximability of the independent set polynomial in the complex plane"
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "spatial mixing and the connective constant optimal bounds"
    - "the complexity of approximating complex valued ising and tutte partition functions"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "the complexity of computing the sign of the tutte polynomial"

Connected through hyperedge HE-6 (induced by source paper "quantum lov a sz local lemma shearer s bound is tight"):
  with members:
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-7 (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 in shearer s region for the lll"
    - "the complexity of approximating complex valued ising and tutte partition functions"

Connected through hyperedge HE-8 (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"
    - "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"

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)