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: "extension complexity mso logic and treewidth"
  Abstract: We consider the convex hull $P_{\varphi}(G)$ of all satisfying assignments of a given MSO formula $\varphi$ on a given graph $G$. We show that there exists an extended formulation of the polytope $P_{\varphi}(G)$ that can be described by $f(|\varphi|,\tau)\cdot n$ inequalities, where $n$ is the number of vertices in $G$, $\tau$ is the treewidth of $G$ and $f$ is a computable function depending only on $\varphi$ and $\tau.$ #R##N#In other words, we prove that the extension complexity of $P_{\varphi}(G)$ is linear in the size of the graph $G$, with a constant depending on the treewidth of $G$ and the formula $\varphi$. This provides a first meta-theorem about the extension complexity of polytopes related to a wide class of problems and graphs. #R##N#Furthermore, we study our main geometric tool which we term the glued product of polytopes. Using the results we obtain, we are able to show that our extension of $P_\varphi(G)$ is decomposable and has bounded treewidth.

Connected through hyperedge HE-1 (induced by source paper "simplified algorithmic metatheorems beyond mso treewidth and neighborhood diversity"):
  with members:
    - "parameterized complexity of fair deletion problems"
    - "the graph motif problem parameterized by the structure of the input graph"
    - "on the parameterized complexity of recognizing well covered r l graphs"
    - "algorithms and hardness results for happy coloring problems"
    - "anti path cover on sparse graph classes"
    - "target set selection in dense graph classes"
    - "on the parameterized complexity of computing balanced partitions in graphs"
    - "fixed parameter complexity of distance constrained labeling and uniform channel assignment problems"

Connected through hyperedge HE-2 (induced by source paper "parameterized shifted combinatorial optimization"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "simplified algorithmic metatheorems beyond mso treewidth and neighborhood diversity"
    - "the parameterized complexity of the minimum shared edges problem"
    - "finding a collective set of items from proportional multirepresentation to group recommendation"
    - "parameterized algorithms for modular width"
    - "the matching polytope has exponential extension complexity"
    - "algorithmic meta theorems"

Connected through hyperedge HE-3 (induced by source paper "lp branching algorithms based on biased graphs"):
  with members:
    - "the complexity landscape of decompositional parameters for ilp"
    - "on problems as hard as cnf sat"
    - "an approach to parameterized resiliency problems using integer linear programming"
    - "parameterized integer quadratic programming variables and coefficients"
    - "a structural approach to kernels for ilps treewidth and total unimodularity"
    - "half integrality lp branching and fpt algorithms"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "faster parameterized algorithms using linear programming"

Connected through hyperedge HE-4 (induced by source paper "strong reductions for extended formulations"):
  with members:
    - "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps"
    - "the matching polytope does not admit fully polynomial size relaxation schemes"
    - "no small linear program approximates vertex cover within a factor 2 epsilon"
    - "lower bounds on the size of semidefinite programming relaxations"
    - "approximate constraint satisfaction requires large lp relaxations"
    - "sparsest cut on bounded treewidth graphs algorithms and hardness results"
    - "the matching polytope has exponential extension complexity"
    - "approximation limits of linear programs beyond hierarchies"

Connected through hyperedge HE-5 (induced by source paper "parameterized extension complexity of independent set and related problems"):
  with members:
    - "approximate constraint satisfaction requires large lp relaxations"
    - "deciding first order properties of nowhere dense graphs"
    - "the matching polytope has exponential extension complexity"
    - "approximation limits of linear programs beyond hierarchies"

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.DS(Data Structures and Algorithms)