human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "a turing kernelization dichotomy for structural parameterizations of mathcal f minor free deletion"):
  Abstract: For a fixed finite family of graphs $\mathcal{F}$, the $\mathcal{F}$-Minor-Free Deletion problem takes as input a graph $G$ and an integer $\ell$ and asks whether there exists a set $X \subseteq V(G)$ of size at most $\ell$ such that $G-X$ is $\mathcal{F}$-minor-free. For $\mathcal{F}=\{K_2\}$ and $\mathcal{F}=\{K_3\}$ this encodes Vertex Cover and Feedback Vertex Set respectively. When parameterized by the feedback vertex number of $G$ these two problems are known to admit a polynomial kernelization. Such a polynomial kernelization also exists for any $\mathcal{F}$ containing a planar graph but no forests. In this paper we show that $\mathcal{F}$-Minor-Free Deletion parameterized by the feedback vertex number is MK[2]-hard for $\mathcal{F} = \{P_3\}$. This rules out the existence of a polynomial kernel assuming $NP \subseteq coNP/poly$, and also gives evidence that the problem does not admit a polynomial Turing kernel. Our hardness result generalizes to any $\mathcal{F}$ not containing a $P_3$-subgraph-free graph, using as parameter the vertex-deletion distance to treewidth $mintw(\mathcal{F})$, where $mintw(\mathcal{F})$ denotes the minimum treewidth of the graphs in $\mathcal{F}$. For the other case, where $\mathcal{F}$ contains a $P_3$-subgraph-free graph, we present a polynomial Turing kernelization. Our results extend to $\mathcal{F}$-Subgraph-Free Deletion.

Includes members:
  Member "polynomial kernels for hitting forbidden minors under structural parameterizations":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "elimination distances blocking sets and kernels for vertex cover")
  Member "turing kernelization for finding long paths and cycles in restricted graph classes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a hierarchy of polynomial kernels")
  Member "linear time kernelization for feedback vertex set":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "improved analysis of highest degree branching for feedback vertex set")
  Member "uniform kernelization complexity of hitting forbidden minors":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a deterministic polynomial kernel for odd cycle transversal and vertex multiway cut in planar graphs")
  Member "data reduction for graph coloring problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "subexponential parameterized algorithms and kernelization on almost chordal graphs")
  Member "compression via matroids a randomized polynomial kernel for odd cycle transversal":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "parameterized algorithms and data reduction for the short secluded s t path problem")
  Member "vertex cover kernelization revisited upper and lower bounds for a refined parameter":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "subexponential parameterized algorithms and kernelization on almost chordal graphs")

Question: Please tell me which class the source paper 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)