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: "correlation decay up to uniqueness in spin systems"
  Abstract: We give a complete characterization of the two-state anti-ferromagnetic spin systems which are of strong spatial mixing on general graphs. We show that a two-state anti-ferromagnetic spin system is of strong spatial mixing on all graphs of maximum degree at most \Delta if and only if the system has a unique Gibbs measure on infinite regular trees of degree up to \Delta, where \Delta can be either bounded or unbounded. As a consequence, there exists an FPTAS for the partition function of a two-state anti-ferromagnetic spin system on graphs of maximum degree at most \Delta when the uniqueness condition is satisfied on infinite regular trees of degree up to \Delta. In particular, an FPTAS exists for arbitrary graphs if the uniqueness is satisfied on all infinite regular trees. This covers as special cases all previous algorithmic results for two-state anti-ferromagnetic systems on general-structure graphs. #R##N#Combining with the FPRAS for two-state ferromagnetic spin systems of Jerrum-Sinclair and Goldberg-Jerrum-Paterson, and the very recent hardness results of Sly-Sun and independently of Galanis-Stefankovic-Vigoda, this gives a complete classification, except at the phase transition boundary, of the approximability of all two-state spin systems, on either degree-bounded families of graphs or family of all graphs.

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"
    - "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"

Connected through hyperedge HE-2 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights"):
  with members:
    - "algorithmic pirogov sinai theory"
    - "counting homomorphisms and partition functions"
    - "computational transition at the uniqueness threshold"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "the complexity of partition functions on hermitian matrices"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-3 (induced by source paper "perfect sampling from spatial mixing"):
  with members:
    - "dynamic sampling from graphical models"
    - "on local distributed sampling and counting"
    - "approximately counting bases of bicircular matroids"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "approximate counting via correlation decay on planar graphs"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-4 (induced by source paper "spectral approximate inference"):
  with members:
    - "the mean field approximation information inequalities algorithms and complexity"
    - "the ising partition function zeros and deterministic approximation"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "variable elimination in the fourier domain"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "a new class of upper bounds on the log partition function"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-5 (induced by source paper "zeros of ferromagnetic 2 spin systems"):
  with members:
    - "zeros of holant problems locations and algorithms"
    - "the ising partition function zeros and deterministic approximation"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "uniqueness spatial mixing and approximation for ferromagnetic 2 spin systems"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-6 (induced by source paper "dynamic mcmc sampling"):
  with members:
    - "uniform sampling through the lov asz local lemma"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"

Connected through hyperedge HE-7 (induced by source paper "improved strong spatial mixing for colorings on trees"):
  with members:
    - "uniqueness for the 3 state antiferromagnetic potts model on the tree"
    - "spatial mixing and non local markov chains"
    - "fptas for bis with degree bounds on one side"

Connected through hyperedge HE-8 (induced by source paper "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"):
  with members:
    - "functional clones and expressibility of partition functions"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of ferromagnetic two spin systems with external fields"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "from holant to csp and back dichotomy for holant c problems"

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)