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: "the complexity of computing the sign of the tutte polynomial"
  Abstract: We study the complexity of computing the sign of the Tutte polynomial of a graph. As there are only three possible outcomes (positive, negative, and zero), this seems at first sight more like a decision problem than a counting problem. Surprisingly, however, there are large regions of the parameter space for which computing the sign of the Tutte polynomial is actually #P-hard. As a trivial consequence, approximating the polynomial is also #P-hard in this case. Thus, approximately evaluating the Tutte polynomial in these regions is as hard as exactly counting the satisfying assignments to a CNF Boolean formula. For most other points in the parameter space, we show that computing the sign of the polynomial is in FP, whereas approximating the polynomial can be done in polynomial time with an NP oracle. As a special case, we completely resolve the complexity of computing the sign of the chromatic polynomial - this is easily computable at q=2 and when q is less than or equal to 32/27, and is NP-hard to compute for all other values of the parameter q.

Connected through hyperedge HE-1 (induced by source paper "the exact complexity of the tutte polynomial"):
  with members:
    - "descriptive complexity for counting complexity classes"
    - "block interpolation a framework for tight exponential time counting complexity"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "amalgam width of matroids"
    - "on the complexity of the interlace polynomial"
    - "computing the tutte polynomial in vertex exponential time"

Connected through hyperedge HE-2 (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"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "approximating the partition function of the ferromagnetic potts model"

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"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"

Connected through hyperedge HE-4 (induced by source paper "a polynomial time approximation algorithm for all terminal network reliability"):
  with members:
    - "uniform sampling through the lov asz local lemma"
    - "improved bounds and algorithms for graph cuts and network reliability"

Connected through hyperedge HE-5 (induced by source paper "inapproximability of the independent set polynomial below the shearer threshold"):
  with members:
    - "computing the independence polynomial in shearer s region for the lll"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "correlation decay up to uniqueness in spin systems"
    - "computational transition at the uniqueness threshold"

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

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"
    - "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"
    - "inapproximability of the tutte polynomial"

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

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)