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: "gadgets and anti gadgets leading to a complexity dichotomy"
  Abstract: We introduce an idea called anti-gadgets in complexity reductions. These combinatorial gadgets have the effect of erasing the presence of some other graph fragment, as if we had managed to include a negative copy of a graph gadget. We use this idea to prove a complexity dichotomy theorem for the partition function $Z(G)$ on 3-regular directed graphs $G$, where each edge is given a complex-valued binary function $f: \{0,1\}^2 \rightarrow \mathbb{C}$. We show that \[Z(G) = \sum_{\sigma: V(G) \to \{0,1\}} \prod_{(u,v) \in E(G)} f(\sigma(u), \sigma(v)),\] is either computable in polynomial time or #P-hard, depending explicitly on $f$.

Connected through hyperedge HE-1 (induced by source paper "a holant dichotomy is the fkt algorithm universal"):
  with members:
    - "holographic algorithms beyond matchgates"
    - "the complexity of planar boolean csp with complex weights"
    - "on tractable exponential sums"
    - "holographic algorithms without matchgates"

Connected through hyperedge HE-2 (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"
    - "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-3 (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"
    - "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"

Connected through hyperedge HE-4 (induced by source paper "a collapse theorem for holographic algorithms with matchgates on domain size at most 4"):
  with members:
    - "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"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-5 (induced by source paper "the complexity of planar boolean csp with complex weights"):
  with members:
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "holant problems for regular graphs with complex edge functions"
    - "the complexity of partition functions on hermitian matrices"
    - "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"

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)