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: "an approximation trichotomy for boolean csp"
  Abstract: We give a trichotomy theorem for the complexity of approximately counting the number of satisfying assignments of a Boolean CSP instance. Such problems are parameterised by a constraint language specifying the relations that may be used in constraints. If every relation in the constraint language is affine then the number of satisfying assignments can be exactly counted in polynomial time. Otherwise, if every relation in the constraint language is in the co-clone IM_2 from Post's lattice, then the problem of counting satisfying assignments is complete with respect to approximation-preserving reductions in the complexity class #RH\Pi_1. This means that the problem of approximately counting satisfying assignments of such a CSP instance is equivalent in complexity to several other known counting problems, including the problem of approximately counting the number of independent sets in a bipartite graph. For every other fixed constraint language, the problem is complete for #P with respect to approximation-preserving reductions, meaning that there is no fully polynomial randomised approximation scheme for counting satisfying assignments unless NP=RP.

Connected through hyperedge HE-1 (induced by source paper "lower bounds for testing graphical models colorings and antiferromagnetic ising models"):
  with members:
    - "approximating pairwise correlations in the ising model"
    - "learning graphical models using multiplicative weights"
    - "sample optimal identity testing with high probability"
    - "structure learning of h colorings"
    - "a new approach for testing properties of discrete distributions"
    - "testing ising models"
    - "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"

Connected through hyperedge HE-2 (induced by source paper "approximately counting and sampling small witnesses using a colourful decision oracle"):
  with members:
    - "counting answers to existential questions"
    - "zeros of holant problems locations and algorithms"
    - "more consequences of falsifying seth and the orthogonal vectors conjecture"
    - "fine grained reductions from approximate counting to decision"
    - "near optimal linear decision trees for k sum and related problems"
    - "edge estimation with independent set oracles"
    - "the hardness of embedding grids and walls"
    - "randomised enumeration of small witnesses using a decision oracle"

Connected through hyperedge HE-3 (induced by source paper "approximate counting csp seen from the other side"):
  with members:
    - "constraint solving via fractional edge covers"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "approximately counting h colourings is bis hard"
    - "the complexity of approximating conservative counting csps"
    - "the challenges of unbounded treewidth in parameterised subgraph counting problems"
    - "understanding model counting for beta acyclic cnf formulas"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-4 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "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"
    - "an fptas for counting proper four colorings on cubic graphs"
    - "fptas for bis with degree bounds on one side"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "ferromagnetic potts model refined bis hardness and related results"

Connected through hyperedge HE-5 (induced by source paper "holant clones and the approximability of conservative holant problems"):
  with members:
    - "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "functional clones and expressibility of partition functions"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of conservative valued csps"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-6 (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"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-7 (induced by source paper "the complexity of approximately counting retractions"):
  with members:
    - "surjective h colouring new hardness results"
    - "a dichotomy theorem for nonuniform csps"
    - "approximately counting h colourings is bis hard"
    - "the complexity of approximately counting tree homomorphisms"
    - "ferromagnetic potts model refined bis hardness and related results"
    - "the complexity of surjective homomorphism problems a survey"

Connected through hyperedge HE-8 (induced by source paper "counting restricted homomorphisms via m obius inversion over matroid lattices"):
  with members:
    - "dichotomy for digraph homomorphism problems two algorithms"
    - "homomorphisms are a good basis for counting small subgraphs"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "counting edge injective homomorphisms and matchings on restricted graph classes"
    - "the parameterized complexity of k biclique"
    - "note on counting eulerian circuits"

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.CC(Computational Complexity)