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: "fixed parameter tractability definability and model checking"
  Abstract: In this article, we study parameterized complexity theory from the perspective of logic, or more specifically, descriptive complexity theory. #R##N#We propose to consider parameterized model-checking problems for various fragments of first-order logic as generic parameterized problems and show how this approach can be useful in studying both fixed-parameter tractability and intractability. For example, we establish the equivalence between the model-checking for existential first-order logic, the homomorphism problem for relational structures, and the substructure isomorphism problem. Our main tractability result shows that model-checking for first-order formulas is fixed-parameter tractable when restricted to a class of input structures with an excluded minor. On the intractability side, for every t >= 0 we prove an equivalence between model-checking for first-order formulas with t quantifier alternations and the parameterized halting problem for alternating Turing machines with t alternations. We discuss the close connection between this alternation hierarchy and Downey and Fellows' W-hierarchy. #R##N#On a more abstract level, we consider two forms of definability, called Fagin definability and slicewise definability, that are appropriate for describing parameterized problems. We give a characterization of the class FPT of all fixed-parameter tractable problems in terms of slicewise definability in finite variable least fixed-point logic, which is reminiscent of the Immerman-Vardi Theorem characterizing the class PTIME in terms of definability in least fixed-point logic.

Connected through hyperedge HE-1 (induced by source paper "nowhere dense graph classes and algorithmic applications a tutorial at highlights of logic games and automata 2019"):
  with members:
    - "classes of graphs with low complexity the case of classes with bounded linear rankwidth"
    - "kernelization and approximation of distance r independent sets on nowhere dense graphs"
    - "empirical evaluation of approximation algorithms for generalized graph coloring and uniform quasi wideness"
    - "on low rank width colorings"
    - "distributed domination on graph classes of bounded expansion"
    - "on the number of types in sparse graphs"
    - "the generalised colouring numbers on classes of bounded expansion"
    - "polynomial kernels and wideness properties of nowhere dense graph classes"

Connected through hyperedge HE-2 (induced by source paper "counting answers to existential questions"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "homomorphisms are indeed a good basis for counting three fixed template dichotomy theorems for the price of one"
    - "note on the complexity of counting surjective homomorphisms and compactions"
    - "counting answers to existential positive queries a complexity classification"
    - "complexity of counting subgraphs only the boundedness of the vertex cover number counts"
    - "a trichotomy in the complexity of counting answers to conjunctive queries"
    - "structural tractability of counting of solutions to conjunctive queries"
    - "polynomial bounds for the grid minor theorem"

Connected through hyperedge HE-3 (induced by source paper "query preserving watermarking schemes for locally treelike databases"):
  with members:
    - "on the number of types in sparse graphs"
    - "deciding first order properties of nowhere dense graphs"
    - "algorithmic meta theorems"
    - "deciding first order properties of locally tree decomposable structures"

Connected through hyperedge HE-4 (induced by source paper "the parameterized space complexity of model checking bounded variable first order logic"):
  with members:
    - "computing hitting set kernels by ac 0 circuits"
    - "fast parallel fixed parameter algorithms via color coding"
    - "one hierarchy spawns another graph deconstructions and the complexity classification of conjunctive queries"
    - "deciding first order properties of nowhere dense graphs"
    - "on the complexity of existential positive queries"
    - "bounds on monotone switching networks for directed connectivity"

Connected through hyperedge HE-5 (induced by source paper "characterising bounded expansion by neighbourhood complexity"):
  with members:
    - "bidimensionality and kernels"
    - "structural sparsity of complex networks bounded expansion in random models and real world graphs"
    - "kernelization and sparseness the case of dominating set"
    - "kernelization using structural parameters on sparse graph classes"
    - "deciding first order properties of nowhere dense graphs"
    - "kernels for connected dominating set on graphs with excluded topological subgraphs"
    - "linear kernels and single exponential algorithms via protrusion decompositions"
    - "structure theorem and isomorphism test for graphs with excluded topological subgraphs"

Connected through hyperedge HE-6 (induced by source paper "fixed parameter tractable distances to sparse graph classes"):
  with members:
    - "graph editing problems with extended regularity constraints"
    - "graph isomorphism parameterized by elimination distance to bounded degree"
    - "editing to a connected graph of given degrees"
    - "kernelization using structural parameters on sparse graph classes"
    - "deciding first order properties of nowhere dense graphs"
    - "editing to a graph of given degrees"
    - "homomorphism preservation on quasi wide classes"
    - "deciding first order properties of locally tree decomposable structures"

Connected through hyperedge HE-7 (induced by source paper "on the complexity of various parameterizations of common induced subgraph isomorphism"):
  with members:
    - "slightly superexponential parameterized problems"
    - "deciding first order properties of nowhere dense graphs"
    - "kernelization lower bounds by cross composition"
    - "cleaning interval graphs"
    - "cross composition a new technique for kernelization lower bounds"
    - "known algorithms on graphs of bounded treewidth are probably optimal"
    - "linear time algorithms for finding a dominating set of fixed size in degenerated graphs"

Connected through hyperedge HE-8 (induced by source paper "complexity of grundy coloring and its variants"):
  with members:
    - "time approximation trade offs for inapproximable problems"
    - "known algorithms for edge clique cover are probably optimal"
    - "known algorithms on graphs of bounded treewidth are probably optimal"

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)