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 counting problems"
  Abstract: We prove the #P-hardness of the counting problems associated with various satisfiability, graph and combinatorial problems, when restricted to planar instances. These problems include \begin{romannum} \item[{}] {\sc 3Sat, 1-3Sat, 1-Ex3Sat, Minimum Vertex Cover, Minimum Dominating Set, Minimum Feedback Vertex Set, X3C, Partition Into Triangles, and Clique Cover.} \end{romannum} We also prove the {\sf NP}-completeness of the {\sc Ambiguous Satisfiability} problems \cite{Sa80} and the {\sf D$^P$}-completeness (with respect to random polynomial reducibility) of the unique satisfiability problems \cite{VV85} associated with several of the above problems, when restricted to planar instances. Previously, very few {\sf #P}-hardness results, no {\sf NP}-hardness results, and no {\sf D$^P$}-completeness results were known for counting problems, ambiguous satisfiability problems and unique satisfiability problems, respectively, when restricted to planar instances. #R##N#Assuming {\sf P $\neq $ NP}, one corollary of the above results is #R##N#There are no $\epsilon$-approximation algorithms for the problems of maximizing or minimizing a linear objective function subject to a planar system of linear inequality constraints over the integers.

Connected through hyperedge HE-1 (induced by source paper "who witnesses the witness finding witnesses in the witness is hard and sometimes impossible"):
  with members:
    - "edge matching problems with rotations"
    - "tree residue vertex breaking a new tool for proving hardness"
    - "braid is undecidable"
    - "fun with fonts algorithmic typography"
    - "classic nintendo games are computationally hard"
    - "the problem of compatible representatives"

Connected through hyperedge HE-2 (induced by source paper "planar 3 sat with a clause variable cycle"):
  with members:
    - "the complexity of drawing graphs on few lines and few planes"
    - "on planar variants of the monotone satisfiability problem with bounded variable appearances"
    - "flip distance between triangulations of a simple polygon is np complete"
    - "classic nintendo games are computationally hard"
    - "minimum weight triangulation is np hard"
    - "the problem of compatible representatives"

Connected through hyperedge HE-3 (induced by source paper "k center clustering under perturbation resilience"):
  with members:
    - "improved and simplified inapproximability for k means"
    - "a bi criteria approximation algorithm for k means"
    - "an improved approximation for k median and positive correlation in budgeted optimization"
    - "bilu linial stable instances of max cut and minimum multiway cut"
    - "decompositions of triangle dense graphs"
    - "on the practically interesting instances of maxcut"
    - "improved spectral norm bounds for clustering"
    - "beyond worst case analysis in private singular vector computation"

Connected through hyperedge HE-4 (induced by source paper "symmetric and asymmetric k center clustering under stability"):
  with members:
    - "decompositions of triangle dense graphs"
    - "beyond worst case analysis in private singular vector computation"
    - "data stability in clustering a closer look"

Connected through hyperedge HE-5 (induced by source paper "possible winners in noisy elections"):
  with members:
    - "weighted electoral control"
    - "search versus decision for election manipulation problems"
    - "control complexity in bucklin fallback and plurality voting an experimental approach"
    - "fully proportional representation as resource allocation approximability results"
    - "the complexity of manipulative attacks in nearly single peaked electorates"
    - "determining possible and necessary winners under common voting rules given partial orders"
    - "cloning in elections finding the possible winners"
    - "multimode control attacks on elections"

Connected through hyperedge HE-6 (induced by source paper "false name manipulation in weighted voting games is hard for probabilistic polynomial time"):
  with members:
    - "the computational complexity of random serial dictatorship"
    - "false name manipulations in weighted voting games"
    - "false name manipulations in weighted voting games splitting merging and annexation"
    - "the cost of stability in coalitional games"
    - "the computational complexity of probabilistic planning"

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)