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 of a planar graph"
  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: given as input a planar graph G, determine T(G; x, y). Vertigan completely mapped the complexity of exactly computing the Tutte polynomial of a planar graph. He showed that the problem can be solved in polynomial time if (x, y) is on the hyperbola H q given by (x − 1)(y − 1) = q for q = 1 or q = 2 or if (x, y) is one of the two special points (x, y) = (−1, −1) or (x, y) = (1, 1). Otherwise, the problem is #P-hard. In this paper, we consider the problem of approximating T(G; x, y), in the usual sense of “fully polynomial randomized approximation scheme” or FPRAS. Roughly speaking, an FPRAS is required to produce, in polynomial time and with high probability, an answer that has small relative error. Assuming that NP is different from RP, we show that there is no FPRAS for the Tutte polynomial in a large portion of the (x, y) plane. In particular, there is no FPRAS if x > 1, y   1, x   5. Also, there is no FPRAS if x   5, our result is intriguing because it shows that there is no FPRAS at (x, y) = (1 − q/(1 + e), −e) for any positive e but it leaves open the limit point e = 0, which corresponds to approximately counting q-colorings of a planar graph.

Connected through hyperedge HE-1 (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"
    - "approximating the partition function of the ferromagnetic potts model"

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"
    - "the complexity of computing the sign of the tutte polynomial"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-3 (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"
    - "the complexity of computing the sign of the tutte polynomial"
    - "correlation decay up to uniqueness in spin systems"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-4 (induced by source paper "functional clones and expressibility of partition functions"):
  with members:
    - "the complexity of approximating conservative counting csps"
    - "analysis of boolean functions"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-5 (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"
    - "binary matroids and quantum probability distributions"
    - "approximate counting and quantum computation"
    - "inapproximability of the tutte polynomial"

Connected through hyperedge HE-6 (induced by source paper "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"):
  with members:
    - "approximating the partition function of the ferromagnetic potts model"
    - "inapproximability of the tutte polynomial"
    - "computing the tutte polynomial in vertex exponential time"
    - "linear datalog and bounded path duality of relational structures"

Connected through hyperedge HE-7 (induced by source paper "the complexity of the fermionant and immanants of constant width"):
  with members:
    - "complexity and completeness of immanants"

Connected through hyperedge HE-8 (induced by source paper "approximating the partition function of the ferromagnetic potts model"):
  with members:
    - "the complexity of approximately counting stable matchings"
    - "computational transition at the uniqueness threshold"
    - "a graph polynomial for independent sets of bipartite graphs"
    - "inapproximability of the tutte polynomial"
    - "linear datalog and bounded path duality of relational structures"

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)