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: "how much does a treedepth modulator help to obtain polynomial kernels beyond sparse graphs"
  Abstract: In the last years, kernelization with structural parameters has been an active area of research within the field of parameterized complexity. As a relevant example, Gajarsk{\`y} et al. [ESA 2013] proved that every graph problem satisfying a property called finite integer index admits a linear kernel on graphs of bounded expansion and an almost linear kernel on nowhere dense graphs, parameterized by the size of a $c$-treedepth modulator, which is a vertex set whose removal results in a graph of treedepth at most $c$, where $c \geq 1$ is a fixed integer. The authors left as further research to investigate this parameter on general graphs, and in particular to find problems that, while admitting polynomial kernels on sparse graphs, behave differently on general graphs. #R##N#In this article we answer this question by finding two very natural such problems: we prove that Vertex Cover admits a polynomial kernel on general graphs for any integer $c \geq 1$, and that Dominating Set does not for any integer $c \geq 2$ even on degenerate graphs, unless $\text{NP} \subseteq \text{coNP}/\text{poly}$. For the positive result, we build on the techniques of Jansen and Bodlaender [STACS 2011], and for the negative result we use a polynomial parameter transformation for $c\geq 3$ and an OR-cross-composition for $c = 2$. As existing results imply that Dominating Set admits a polynomial kernel on degenerate graphs for $c = 1$, our result provides a dichotomy about the existence of polynomial kernels for Dominating Set on degenerate graphs with this parameter.

Connected through hyperedge HE-1 (induced by source paper "on the approximate compressibility of connected vertex cover"):
  with members:
    - "revisiting connected vertex cover fpt algorithms and lossy kernels"
    - "smaller parameters for vertex cover kernelization"
    - "approximation and kernelization for chordal vertex deletion"
    - "a randomized polynomial kernelization for vertex cover with a smaller parameter"
    - "vertex cover structural parameterization revisited"
    - "kernelization lower bounds by cross composition"
    - "kernelization of packing problems"
    - "representative sets and irrelevant vertices new tools for kernelization"

Connected through hyperedge HE-2 (induced by source paper "optimal data reduction for graph coloring using low degree polynomials"):
  with members:
    - "smaller parameters for vertex cover kernelization"
    - "fine grained parameterized complexity analysis of graph coloring problems"
    - "optimal sparsification for some binary csps using low degree polynomials"
    - "sparsification upper and lower bounds for graph problems and not all equal sat"
    - "point line cover the easy kernel is essentially tight"
    - "data reduction for graph coloring problems"
    - "list h coloring a graph by removing few vertices"
    - "kernelization lower bounds by cross composition"

Connected through hyperedge HE-3 (induced by source paper "optimal algorithms for hitting topological minors on graphs of bounded treewidth"):
  with members:
    - "slightly superexponential parameterized problems"
    - "deleting vertices to graphs of bounded genus"
    - "bidimensionality and kernels"
    - "a tight lower bound for vertex planarization on graphs of bounded treewidth"
    - "hitting and harvesting pumpkins"
    - "explicit linear kernels via dynamic programming"
    - "linear kernels and single exponential algorithms via protrusion decompositions"
    - "solving connectivity problems parameterized by treewidth in single exponential time"

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)