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: "spatial mixing and approximation algorithms for graphs with bounded connective constant"
  Abstract: The hard core model in statistical physics is a probability distribution on independent sets in a graph in which the weight of any independent set I is proportional to λ|I|, where λ > 0 is the vertex activity. We show that there is an intimate connection between the connective constant of a graph and the phenomenon of strong spatial mixing (decay of correlations) for the hard core model; specifically, we prove that the hard core model with vertex activity λ <; λc(Δ+1) exhibits strong spatial mixing on any graph of connective constant Δ, irrespective of its maximum degree, and hence derive an FPTAS for the partition function of the hard core model on such graphs. Here λc(d) ··= dd/(d-1)d+1 is the critical activity for the uniqueness of the Gibbs measure of the hard core model on the infinite d-ary tree. As an application, we show that the partition function can be efficiently approximated with high probability on graphs drawn from the random graph model G (n, d/n) for all λ <; e/d, even though the maximum degree of such graphs is unbounded with high probability. We also improve upon Weitz's bounds for strong spatial mixing on bounded degree graphs [30] by providing a computationally simple method which uses known estimates of the connective constant of a lattice to obtain bounds on the vertex activities λ for which the hard core model on the lattice exhibits strong spatial mixing. Using this framework, we improve upon these bounds for several lattices including the Cartesian lattice in dimensions 3 and higher. Our techniques also allow us to relate the threshold for the uniqueness of the Gibbs measure on a general tree to its branching factor [15].

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"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "spatial mixing and the connective constant optimal bounds"
    - "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 "sampling in uniqueness from the potts and random cluster models on random regular graphs"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "algorithmic pirogov sinai theory"
    - "sampling random colorings of sparse random graphs"
    - "spatial mixing and the connective constant optimal bounds"
    - "mixing of the glauber dynamics for the ferromagnetic potts model"
    - "ferromagnetic potts model refined bis hardness and related results"
    - "approximating partition functions of two state spin systems"

Connected through hyperedge HE-3 (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"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "spatial mixing and the connective constant optimal bounds"
    - "the complexity of approximating complex valued ising and tutte partition functions"
    - "the complexity of computing the sign of the tutte polynomial"

Connected through hyperedge HE-4 (induced by source paper "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for bis with degree bounds on one side"
    - "a simple fptas for counting edge covers"
    - "spatial mixing and the connective constant optimal bounds"
    - "loopy belief propagation for approximate inference an empirical study"
    - "improved bounds on the phase transition for the hard core model in 2 dimensions"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-5 (induced by source paper "computing the independence polynomial in shearer s region for the lll"):
  with members:
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "fptas for bis with degree bounds on one side"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "spatial mixing and the connective constant optimal bounds"
    - "fptas for counting monotone cnf"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-6 (induced by source paper "counting hypergraph matchings up to uniqueness threshold"):
  with members:
    - "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"
    - "counting independent sets in hypergraphs when strong spatial mixing fails"
    - "fptas for hardcore and ising models on hypergraphs"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "fptas for weighted fibonacci gates and its applications"
    - "a simple fptas for counting edge covers"

Connected through hyperedge HE-7 (induced by source paper "fptas for bis with degree bounds on one side"):
  with members:
    - "a simple fptas for counting edge covers"
    - "the complexity of ferromagnetic two spin systems with external fields"
    - "spatial mixing and the connective constant optimal bounds"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "fptas for counting monotone cnf"
    - "the complexity of approximately counting stable roommate assignments"
    - "approximating the partition function of the ferromagnetic potts model"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-8 (induced by source paper "spatial mixing and approximate counting for potts model on graphs with bounded average degree"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "spatial mixing of coloring random graphs"
    - "mcmc sampling colourings and independent sets of g n d n near the uniqueness threshold"
    - "chasing the k colorability threshold"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "a simple algorithm for random colouring g n d n using 2 epsilon d colours"

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)