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: "inapproximability of the tutte polynomial"
  Abstract: The Tutte polynomial of a graph G is a two-variable polynomial T(G;x,y) that encodes many interesting properties of the graph. We study the complexity of the following problem, for rationals x and y: take as input a graph G, and output a value which is a good approximation to T(G;x,y). Jaeger et al. have completely mapped the complexity of exactly computing the Tutte polynomial. They have shown that this is #P-hard, except along the hyperbola (x-1)(y-1)=1 and at four special points. We are interested in determining for which points (x,y) there is a fully polynomial randomised approximation scheme (FPRAS) for T(G;x,y). Under the assumption RP NP, we prove that there is no FPRAS at (x,y) if (x,y) is in one of the half-planes x NP, there is no FPRAS at the point (x,y)=(0,[email protected]) when @l>2 is a positive integer. Thus, there is no FPRAS for counting nowhere-zero @l flows for @l>2. This is an interesting consequence of our work since the corresponding decision problem is in P for example for @l=6. Although our main concern is to distinguish regions of the Tutte plane that admit an FPRAS from those that do not, we also note that the latter regions exhibit different levels of intractability. At certain points (x,y), for example the integer points on the x-axis, or any point in the positive quadrant, there is a randomised approximation scheme for T(G;x,y) that runs in polynomial time using an oracle for an NP predicate. On the other hand, we identify a region of points (x,y) at which even approximating T(G;x,y) is as hard as #P.

Connected through hyperedge HE-1 (induced by source paper "the fine grained complexity of computing the tutte polynomial of a linear matroid"):
  with members:
    - "fine grained dichotomies for the tutte plane and boolean csp"
    - "tight lower bounds on graph embedding problems"
    - "assigning channels via the meet in the middle approach"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "computing the tutte polynomial in vertex exponential time"

Connected through hyperedge HE-2 (induced by source paper "counting perfect matchings and the eight vertex model"):
  with members:
    - "approximability of the six vertex model"
    - "functional clones and expressibility of partition functions"
    - "approximating holant problems by winding"

Connected through hyperedge HE-3 (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-4 (induced by source paper "the ising partition function zeros and deterministic approximation"):
  with members:
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "real stable polynomials and matroids optimization and counting"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "uniqueness spatial mixing and approximation for ferromagnetic 2 spin systems"
    - "fptas for hardcore and ising models on hypergraphs"
    - "counting hypergraph matchings up to uniqueness threshold"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"

Connected through hyperedge HE-5 (induced by source paper "a structured view on weighted counting with relations to counting quantum computation and applications"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "the complexity of bayesian networks specified by propositional and relational languages"
    - "the complexity of weighted and unweighted csp"
    - "complexity of counting csp with complex weights"
    - "approximate counting for complex weighted boolean constraint satisfaction problems"
    - "the complexity of weighted boolean csp"
    - "the complexity of computing the size of an interval"
    - "the computational complexity of probabilistic planning"

Connected through hyperedge HE-6 (induced by source paper "random cluster dynamics for the ising model is rapidly mixing"):
  with members:
    - "the complexity of computing the sign of the tutte polynomial"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-7 (induced by source paper "block interpolation a framework for tight exponential time counting complexity"):
  with members:
    - "fine grained dichotomies for the tutte plane and boolean csp"
    - "on problems as hard as cnf sat"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "the complexity of computing the sign of the tutte polynomial"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"
    - "exponential time complexity of weighted counting of independent sets"
    - "the exponential time complexity of computing the probability that a graph is connected"

Connected through hyperedge HE-8 (induced by source paper "the complexity of approximating complex valued ising and tutte partition functions"):
  with members:
    - "the complexity of computing the sign of the tutte polynomial"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "binary matroids and quantum probability distributions"
    - "approximate counting and quantum computation"

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)