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: "graph homomorphisms with complex values a dichotomy theorem"
  Abstract: Graph homomorphism has been studied intensively. Given an m x m symmetric matrix A, the graph homomorphism function is defined as \[Z_A (G) = \sum_{f:V->[m]} \prod_{(u,v)\in E} A_{f(u),f(v)}, \] where G = (V,E) is any undirected graph. The function Z_A can encode many interesting graph properties, including counting vertex covers and k-colorings. We study the computational complexity of Z_A for arbitrary symmetric matrices A with algebraic complex values. Building on work by Dyer and Greenhill, Bulatov and Grohe, and especially the recent beautiful work by Goldberg, Grohe, Jerrum and Thurley, we prove a complete dichotomy theorem for this problem. We show that Z_A is either computable in polynomial-time or #P-hard, depending explicitly on the matrix A. We further prove that the tractability criterion on A is polynomial-time decidable.

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"
    - "a complexity dichotomy for partition functions with mixed signs"

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"
    - "a complexity dichotomy for partition functions with mixed signs"

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"
    - "a complexity dichotomy for partition functions with mixed signs"

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"
    - "a complexity dichotomy for partition functions with mixed signs"

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 "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-7 (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"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-8 (induced by source paper "the complexity of holant problems over boolean domain with non negative weights"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "a holant dichotomy is the fkt algorithm universal"
    - "holographic algorithms beyond matchgates"
    - "the complexity of weighted and unweighted csp"
    - "complexity of counting csp with complex weights"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "the complexity of weighted boolean csp"
    - "the complexity of weighted boolean csp with mixed signs"

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)