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: "a complexity dichotomy for partition functions with mixed signs"
  Abstract: Partition functions, also known as homomorphism functions, form a rich family of graph invariants that contain combinatorial invariants such as the number of k-colourings or the number of independent sets of a graph and also the partition functions of certain "spin glass" models of statistical physics such as the Ising model. #R##N#Building on earlier work by Dyer, Greenhill and Bulatov, Grohe, we completely classify the computational complexity of partition functions. Our main result is a dichotomy theorem stating that every partition function is either computable in polynomial time or #P-complete. Partition functions are described by symmetric matrices with real entries, and we prove that it is decidable in polynomial time in terms of the matrix whether a given partition function is in polynomial time or #P-complete. #R##N#While in general it is very complicated to give an explicit algebraic or combinatorial description of the tractable cases, for partition functions described by a Hadamard matrices -- these turn out to be central in our proofs -- we obtain a simple algebraic tractability criterion, which says that the tractable cases are those "representable" by a quadratic polynomial over the field GF(2).

Connected through hyperedge HE-1 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights"):
  with members:
    - "algorithmic pirogov sinai theory"
    - "correlation decay up to uniqueness in spin systems"
    - "counting homomorphisms and partition functions"
    - "computational transition at the uniqueness threshold"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "the complexity of partition functions on hermitian matrices"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-2 (induced by source paper "perfect matchings rank of connection tensors and graph homomorphisms"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "a holant dichotomy is the fkt algorithm universal"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "counting homomorphisms and partition functions"
    - "complexity of counting csp with complex weights"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-3 (induced by source paper "counting homomorphisms modulo a prime number"):
  with members:
    - "counting homomorphisms to trees modulo a prime"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "counting homomorphisms to square free graphs modulo 2"
    - "the complexity of counting homomorphisms to cactus graphs modulo 2"
    - "the complexity of parity graph homomorphism an initial investigation"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-4 (induced by source paper "on a theorem of lovasz that hom cdot h determines the isomorhphism type of h"):
  with members:
    - "perfect matchings rank of connection tensors and graph homomorphisms"
    - "counting homomorphisms and partition functions"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-5 (induced by source paper "holant clones and the approximability of conservative holant problems"):
  with members:
    - "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "functional clones and expressibility of partition functions"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of conservative valued csps"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-6 (induced by source paper "counting homomorphisms to trees modulo a prime"):
  with members:
    - "counting homomorphisms to square free graphs modulo 2"
    - "the complexity of parity graph homomorphism an initial investigation"
    - "the complexity of counting solutions to generalised satisfiability problems modulo k"

Connected through hyperedge HE-7 (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-8 (induced by source paper "complexity classification of the eight vertex model"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "approximating the partition function of the ferromagnetic potts model"
    - "on tractable exponential sums"
    - "graph homomorphisms with complex values a dichotomy theorem"

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)