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 with mixed signs"
  Abstract: We give a complexity dichotomy for the problem of computing the partition function of a weighted Boolean constraint satisfaction problem. Such a problem is parameterized by a set of rational-valued functions, which generalize constraints. Each function assigns a weight to every assignment to a set of Boolean variables. Our dichotomy extends previous work in which the weight functions were restricted to being non-negative. We represent a weight function as a product of the form (-1)^s g, where the polynomial s determines the sign of the weight and the non-negative function g determines its magnitude. We show that the problem of computing the partition function (the sum of the weights of all possible variable assignments) is in polynomial time if either every weight function can be defined by a "pure affine" magnitude with a quadratic sign polynomial or every function can be defined by a magnitude of "product type" with a linear sign polynomial. In all other cases, computing the partition function is FP^#P-complete.

Connected through hyperedge HE-1 (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"

Connected through hyperedge HE-2 (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"

Connected through hyperedge HE-3 (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-4 (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"

Connected through hyperedge HE-5 (induced by source paper "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems"):
  with members:
    - "the complexity of planar boolean csp with complex weights"
    - "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"
    - "on tractable exponential sums"
    - "holant problems for regular graphs with complex edge functions"
    - "from holant to csp and back dichotomy for holant c problems"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-6 (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-7 (induced by source paper "dichotomy for holant problems with a function on domain size 3"):
  with members:
    - "approximating the partition function of the ferromagnetic potts model"
    - "normal factor graphs a diagrammatic approach to linear algebra"
    - "complexity of counting csp with complex weights"
    - "partition functions of normal factor graphs"
    - "normal factor graphs and holographic transformations"
    - "non negative weighted csps an effective complexity dichotomy"
    - "from holant to csp and back dichotomy for holant c problems"
    - "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"
    - "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"
    - "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)