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: "approximating the partition function of the ferromagnetic potts model"
  Abstract: We provide evidence that it is computationally difficult to approximate the partition function of the ferromagnetic q-state Potts model when q > 2. Specifically, we show that the partition function is hard for the complexity class #RHPi under approximation-preserving reducibility. Thus, it is as hard to approximate the partition function as it is to find approximate solutions to a wide range of counting problems, including that of determining the number of independent sets in a bipartite graph. Our proof exploits the first-order phase transition of the “random cluster” model, which is a probability distribution on graphs that is closely related to the q-state Potts model.

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 "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-3 (induced by source paper "counting independent sets in unbalanced bipartite graphs"):
  with members:
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "algorithms for bis hard problems on expander graphs"
    - "algorithmic pirogov sinai theory"
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "fptas for bis with degree bounds on one side"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-4 (induced by source paper "fpras for the potts model and the number of k colorings"):
  with members:
    - "improved bounds for randomly sampling colorings via linear programming"
    - "an fptas for counting proper four colorings on cubic graphs"
    - "mixing of the glauber dynamics for the ferromagnetic potts model"
    - "ferromagnetic potts model refined bis hardness and related results"
    - "inapproximability of the tutte polynomial of a planar graph"

Connected through hyperedge HE-5 (induced by source paper "algorithms for bis hard problems on expander graphs"):
  with members:
    - "markov chains for the hard core model via polymer models"
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "sampling in uniqueness from the potts and random cluster models on random regular graphs"
    - "algorithmic pirogov sinai theory"
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "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"
    - "random cluster dynamics for the ising model is rapidly mixing"

Connected through hyperedge HE-6 (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"
    - "computing the independence polynomial from the tree threshold down to the roots"

Connected through hyperedge HE-7 (induced by source paper "log concave polynomials ii high dimensional walks and an fpras for counting bases of a matroid"):
  with members:
    - "approximately counting bases of bicircular matroids"
    - "log concave polynomials i entropy and a deterministic approximation algorithm for counting bases of matroids"
    - "monte carlo markov chain algorithms for sampling strongly rayleigh distributions and determinantal point processes"
    - "high dimensional random walks and colorful expansion"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "the complexity of computing the sign of the tutte polynomial"
    - "inapproximability of the tutte polynomial of a planar graph"

Connected through hyperedge HE-8 (induced by source paper "high dimensional discrete integration over the hypergrid"):
  with members:
    - "distribution aware sampling and weighted model counting for sat"
    - "taming the curse of dimensionality discrete integration by hashing and optimization"
    - "optimization with parity constraints from binary codes to discrete integration"
    - "an approximation algorithm for k sat"
    - "the good old davis putnam procedure helps counting models"

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)