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 tutte polynomial of a binary matroid and other related combinatorial polynomials"
  Abstract: We consider the problem of approximating certain combinatorial polynomials. First, we consider the problem of approximating the Tutte polynomial of a binary matroid with parameters q>=2 and @c. (Relative to the classical (x,y) parameterisation, q=(x-1)(y-1) and @c=y-1.) A graph is a special case of a binary matroid, so earlier work by the authors shows inapproximability (subject to certain complexity assumptions) for q>2, apart from the trivial case @c=0. The situation for q=2 is different. Previous results for graphs imply inapproximability in the region -2= 0, the approximation problem is hard for the complexity class #RH@P"1 under approximation-preserving (AP) reducibility. The latter result indicates a gap in approximation complexity at q=2: whereas an FPRAS is known in the graphical case, there can be none in the binary matroid case, unless there is an FPRAS for all of #RH@P"1. The result also implies that it is computationally difficult to approximate the weight enumerator of a binary linear code, apart from at the special weights at which the problem is exactly solvable in polynomial time. As a consequence, we show that approximating the cycle index polynomial of a permutation group is hard for #RH@P"1 under AP-reducibility, partially resolving a question that we first posed in 1992.

Connected through hyperedge HE-1 (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"
    - "the complexity of computing the sign of the tutte polynomial"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-2 (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"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "from holant to csp and back dichotomy for holant c problems"

Connected through hyperedge HE-3 (induced by source paper "the complexity of approximately counting tree homomorphisms"):
  with members:
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "approximating the partition function of the ferromagnetic potts model"
    - "an approximation trichotomy for boolean csp"

Connected through hyperedge HE-4 (induced by source paper "the expressibility of functions on the boolean domain with applications to counting csps"):
  with members:
    - "the complexity of conservative valued csps"
    - "the complexity of weighted and unweighted csp"
    - "the complexity of approximately counting stable matchings"
    - "approximating the partition function of the ferromagnetic potts model"
    - "lsm is not generated by binary functions"
    - "approximate counting for complex weighted boolean constraint satisfaction problems"
    - "the expressive power of binary submodular functions"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-5 (induced by source paper "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"):
  with members:
    - "approximating the partition function of the ferromagnetic potts model"
    - "inapproximability of the tutte polynomial"

Connected through hyperedge HE-6 (induced by source paper "a note on the complexity of comparing succinctly represented integers with an application to maximum probability parsing"):
  with members:
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "polynomial time algorithms for multi type branching processes and stochastic context free grammars"

Connected through hyperedge HE-7 (induced by source paper "the complexity of computing the sign of the tutte polynomial"):
  with members:
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "approximating the partition function of the ferromagnetic potts model"
    - "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)