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 decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
  Abstract: The complexity of graph homomorphism problems has been the subject of intense study. It is a long standing open problem to give a (decidable) complexity dichotomy theorem for the partition function of directed graph homomorphisms. In this paper, we prove a decidable complexity dichotomy theorem for this problem and our theorem applies to all non-negative weighted form of the problem: given any fixed matrix A with non-negative algebraic entries, the partition function Z_A(G) of directed graph homomorphisms from any directed graph G is either tractable in polynomial time or #P-hard, depending on the matrix A. The proof of the dichotomy theorem is combinatorial, but involves the definition of an infinite family of graph homomorphism problems. The proof of its decidability is algebraic using properties of polynomials.

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"
    - "the complexity of partition functions on hermitian matrices"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-2 (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"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-3 (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-4 (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"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"
    - "the complexity of weighted boolean csp with mixed signs"

Connected through hyperedge HE-5 (induced by source paper "holographic algorithms beyond matchgates"):
  with members:
    - "the complexity of planar boolean csp with complex weights"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "dichotomy for holant problems with a function on domain size 3"
    - "complexity of counting csp with complex weights"
    - "gadgets and anti gadgets leading to a complexity dichotomy"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "holographic algorithms with matchgates capture precisely tractable planar csp"
    - "from holant to csp and back dichotomy for holant c problems"

Connected through hyperedge HE-6 (induced by source paper "taming the curse of dimensionality discrete integration by hashing and optimization"):
  with members:
    - "loopy belief propagation for approximate inference an empirical study"
    - "a scalable and nearly uniform generator of sat witnesses"
    - "improving the accuracy and efficiency of map inference for markov logic"
    - "bayesian learning in undirected graphical models approximate mcmc algorithms"
    - "map complexity results and approximation methods"
    - "on the partition function and random maximum a posteriori perturbations"
    - "tightening lp relaxations for map using message passing"

Connected through hyperedge HE-7 (induced by source paper "inapproximability after uniqueness phase transition in two spin systems"):
  with members:
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "complexity of counting csp with complex weights"
    - "approximate counting via correlation decay in spin systems"
    - "improved inapproximability results for counting independent sets in the hard core model"
    - "non negative weighted csps an effective complexity dichotomy"
    - "computational transition at the uniqueness threshold"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-8 (induced by source paper "the complexity of weighted and unweighted csp"):
  with members:
    - "non negative weighted csps an effective complexity dichotomy"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"
    - "the complexity of weighted boolean csp with mixed signs"
    - "a complexity dichotomy for partition functions with mixed signs"
    - "a complexity dichotomy for hypergraph partition functions"
    - "an approximation trichotomy for boolean csp"

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)