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 planar boolean csp with complex weights"
  Abstract: We prove a complexity dichotomy theorem for symmetric complex-weighted Boolean #CSP when the constraint graph of the input must be planar. The problems that are #P-hard over general graphs but tractable over planar graphs are precisely those with a holographic reduction to matchgates. This generalizes a theorem of Cai, Lu, and Xia for the case of real weights. We also obtain a dichotomy theorem for a symmetric arity 4 signature with complex weights in the planar Holant framework, which we use in the proof of our #CSP dichotomy. In particular, we reduce the problem of evaluating the Tutte polynomial of a planar graph at the point (3,3) to counting the number of Eulerian orientations over planar 4-regular graphs to show the latter is #P-hard. This strengthens a theorem by Huang and Lu to the planar setting. Our proof techniques combine new ideas with refinements and extensions of existing techniques. These include planar pairings, the recursive unary construction, the anti-gadget technique, and pinning in the Hadamard basis.

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"
    - "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"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-2 (induced by source paper "on planar valued csps"):
  with members:
    - "the power of sherali adams relaxations for general valued csps"
    - "even delta matroids and the complexity of planar boolean csps"
    - "the complexity of finite valued csps"
    - "a galois connection for weighted relational clones of infinite size"
    - "necessary conditions for tractability of valued csps"
    - "hybrid v csps and algebraic reductions"
    - "algebraic properties of valued constraint satisfaction problem"
    - "the complexity of general valued csps"

Connected through hyperedge HE-3 (induced by source paper "approximability of the six vertex model"):
  with members:
    - "a complexity trichotomy for the six vertex model"
    - "canonical paths for mcmc from art to science"
    - "approximating holant problems by winding"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-4 (induced by source paper "on blockwise symmetric matchgate signatures and higher domain csp"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "basis collapse for holographic algorithms over all domain sizes"
    - "base collapse of holographic algorithms"

Connected through hyperedge HE-5 (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"
    - "on tractable exponential sums"
    - "holographic algorithms without matchgates"
    - "the complexity of weighted boolean csp"
    - "the complexity of weighted boolean csp with mixed signs"

Connected through hyperedge HE-6 (induced by source paper "a holant dichotomy is the fkt algorithm universal"):
  with members:
    - "holographic algorithms beyond matchgates"
    - "gadgets and anti gadgets leading to a complexity dichotomy"
    - "on tractable exponential sums"
    - "holographic algorithms without matchgates"

Connected through hyperedge HE-7 (induced by source paper "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems"):
  with members:
    - "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"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-8 (induced by source paper "holographic algorithms beyond matchgates"):
  with members:
    - "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"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"

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)