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: "holographic algorithms with matchgates capture precisely tractable planar csp"
  Abstract: Valiant introduced matchgate computation and holographic algorithms. A number of seemingly exponential time problems can be solved by this novel algorithmic paradigm in polynomial time. We show that, in a very strong sense, matchgate computations and holographic algorithms based on them provide a universal methodology to a broad class of counting problems studied in statistical physics community for decades. They capture precisely those problems which are #P-hard on general graphs but computable in polynomial time on planar graphs. #R##N#More precisely, we prove complexity dichotomy theorems in the framework of counting CSP problems. The local constraint functions take Boolean inputs, and can be arbitrary real-valued symmetric functions. We prove that, every problem in this class belongs to precisely three categories: (1) those which are tractable (i.e., polynomial time computable) on general graphs, or (2) those which are \#P-hard on general graphs but ractable on planar graphs, or (3) those which are #P-hard even on planar graphs. The classification criteria are explicit. Moreover, problems in category (2) are tractable on planar graphs precisely by holographic algorithms with matchgates.

Connected through hyperedge HE-1 (induced by source paper "counting edge injective homomorphisms and matchings on restricted graph classes"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "parameterizing the permanent genus apices minors evaluation mod 2 k"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "complexity of counting subgraphs only the boundedness of the vertex cover number counts"
    - "the parameterized complexity of k biclique"
    - "the challenges of unbounded treewidth in parameterised subgraph counting problems"

Connected through hyperedge HE-2 (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"
    - "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-3 (induced by source paper "gadgets and anti gadgets leading to a complexity dichotomy"):
  with members:
    - "dichotomy for real holant c problems"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "non negative weighted csps an effective complexity dichotomy"
    - "holant problems for regular graphs with complex edge functions"
    - "from holant to csp and back dichotomy for holant c problems"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"

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)