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 approximately counting stable matchings"
  Abstract: We investigate the complexity of approximately counting stable matchings in the k-attribute model, where the preference lists are determined by dot products of ''preference vectors'' with ''attribute vectors'', or by Euclidean distances between ''preference points ''and ''attribute points''. Irving and Leather (1986) [14] proved that counting the number of stable matchings in the general case is #P-complete. Counting the number of stable matchings is reducible to counting the number of downsets in a (related) partial order [14] and is interreducible, in an approximation-preserving sense, to a class of problems that includes counting the number of independent sets in a bipartite graph (#BIS) (Dyer et al. (2004) [6]). It is conjectured that no FPRAS exists for this class of problems. We show this approximation-preserving interreducibility remains even in the restricted k-attribute setting when k>=3 (dot products) or k>=2 (Euclidean distances). Finally, we show it is easy to count the number of stable matchings in the 1-attribute dot-product setting.

Connected through hyperedge HE-1 (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-2 (induced by source paper "stable marriage with groups of similar agents"):
  with members:
    - "on treewidth and stable marriage"
    - "balanced stable marriage how close is close enough"
    - "stable marriage with covering constraints a complete computational trichotomy"
    - "parameterized integer quadratic programming variables and coefficients"
    - "the complexity of approximately counting stable roommate assignments"
    - "complexity of coalition structure generation"

Connected through hyperedge HE-3 (induced by source paper "a simply exponential upper bound on the maximum number of stable matchings"):
  with members:
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-4 (induced by source paper "subquadratic algorithms for succinct stable matching"):
  with members:
    - "strong eth breaks with merlin and arthur short non interactive proofs of batch evaluation"
    - "probabilistic polynomials and hamming nearest neighbors"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"
    - "a stable marriage requires communication"
    - "faster all pairs shortest paths via circuit complexity"
    - "a satisfiability algorithm for sparse depth two threshold circuits"

Connected through hyperedge HE-5 (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"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "the complexity of weighted and unweighted csp"
    - "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-6 (induced by source paper "counting popular matchings in house allocation problems"):
  with members:
    - "popular matchings structure and cheating strategies"

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

Connected through hyperedge HE-8 (induced by source paper "core stability in hedonic coalition formation"):
  with members:
    - "group activity selection problem"
    - "stable partitions in additively separable hedonic games"

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)