human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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 $f$.

Includes members:
  Member "dichotomy for real holant c problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "a complete dichotomy rises from the capture of vanishing signatures":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "an effective dichotomy for the counting constraint satisfaction problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "approximate counting csp seen from the other side")
  Member "holographic algorithms with matchgates capture precisely tractable planar csp":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "counting edge injective homomorphisms and matchings on restricted graph classes")
  Member "non negative weighted csps an effective complexity dichotomy":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the complexity of approximating conservative counting csps")
  Member "holant problems for regular graphs with complex edge functions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems")
  Member "from holant to csp and back dichotomy for holant c problems":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "holant clones and the approximability of conservative holant problems")
  Member "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights")

Question: Please tell me which class the source paper 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)