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 weighted boolean csp"
  Abstract: This paper gives a dichotomy theorem for the complexity of computing the partition function of an instance of a weighted Boolean constraint satisfaction problem. The problem is parameterized by a finite set $\mathcal{F}$ of nonnegative functions that may be used to assign weights to the configurations (feasible solutions) of a problem instance. Classical constraint satisfaction problems correspond to the special case of 0,1-valued functions. We show that computing the partition function, i.e., the sum of the weights of all configurations, is $\text{{\sf FP}}^{\text{{\sf\#P}}}$-complete unless either (1) every function in $\mathcal{F}$ is of “product type,” or (2) every function in $\mathcal{F}$ is “pure affine.” In the remaining cases, computing the partition function is in P.

Connected through hyperedge HE-1 (induced by source paper "complexity of counting weighted eulerian orientations with ars"):
  with members:
    - "dichotomy for real holant c problems"
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of weighted and unweighted csp"
    - "the complexity of planar boolean csp with complex weights"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"
    - "an effective dichotomy for the counting constraint satisfaction problem"

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"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-3 (induced by source paper "a structured view on weighted counting with relations to counting quantum computation and applications"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "the complexity of bayesian networks specified by propositional and relational languages"
    - "the complexity of weighted and unweighted csp"
    - "complexity of counting csp with complex weights"
    - "approximate counting for complex weighted boolean constraint satisfaction problems"
    - "inapproximability of the tutte polynomial"
    - "the complexity of computing the size of an interval"
    - "the computational complexity of probabilistic planning"

Connected through hyperedge HE-4 (induced by source paper "dichotomy for real holant c problems"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-5 (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"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp with mixed signs"

Connected through hyperedge HE-6 (induced by source paper "holographic algorithm with matchgates is universal for planar csp over boolean domain"):
  with members:
    - "a holant dichotomy is the fkt algorithm universal"
    - "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems"
    - "the complexity of planar boolean csp with complex weights"
    - "on tractable exponential sums"
    - "holographic algorithms without matchgates"
    - "the complexity of weighted boolean csp with mixed signs"

Connected through hyperedge HE-7 (induced by source paper "the complexity of approximating conservative counting csps"):
  with members:
    - "the complexity of conservative valued csps"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "the complexity of weighted and unweighted csp"
    - "approximating the partition function of the ferromagnetic potts model"
    - "complexity of counting csp with complex weights"
    - "a maximal tractable class of soft constraints"
    - "approximate counting for complex weighted boolean constraint satisfaction problems"
    - "an effective dichotomy for the counting constraint satisfaction problem"

Connected through hyperedge HE-8 (induced by source paper "complexity of counting subgraphs only the boundedness of the vertex cover number counts"):
  with members:
    - "the challenges of unbounded treewidth in parameterised subgraph counting problems"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "polynomial bounds for the grid minor theorem"
    - "counting thin subgraphs via packings faster than meet in the middle time"
    - "the complexity of weighted and unweighted csp"
    - "efficient triangle counting in large graphs via degree based vertex partitioning"
    - "kernelization of packing problems"
    - "determinant sums for undirected hamiltonicity"

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)