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: "hardness of approximation for h free edge modification problems"
  Abstract: The $H$-Free Edge Deletion problem asks, for a given graph $G$ and an integer $k$, whether it is possible to delete at most $k$ edges from $G$ to make it $H$-free, that is, not containing $H$ as an induced subgraph. The $H$-Free Edge Completion problem is defined similarly, but we add edges instead of deleting them. The study of these two problem families has recently been the subject of intensive studies from the point of view of parameterized complexity and kernelization. In particular, it was shown that the problems do not admit polynomial kernels (under plausible complexity assumptions) for almost all graphs $H$, with several important exceptions occurring when the class of $H$-free graphs exhibits some structural properties. #R##N#In this work we complement the parameterized study of edge modification problems to $H$-free graphs by considering their approximability. We prove that whenever $H$ is $3$-connected and has at least two non-edges, then both $H$-Free Edge Deletion and $H$-Free Edge Completion are very hard to approximate: they do not admit $\mathrm{poly}(\mathsf{OPT})$-approximation in polynomial time, unless $\mathrm{P}=\mathrm{NP}$, or even in time subexponential in $\mathsf{OPT}$, unless the Exponential Time Hypothesis fails. The assumption of the existence of two non-edges appears to be important: we show that whenever $H$ is a complete graph without one edge, then $H$-Free Edge Deletion is tightly connected to the Min Horn problem, whose approximability is still open. Finally, in an attempt to extend our hardness results beyond $3$-connected graphs, we consider the cases of $H$ being a path or a cycle, and we achieve an almost complete dichotomy there.

Connected through hyperedge HE-1 (induced by source paper "partitioning a graph into small pieces with applications to path transversal"):
  with members:
    - "linear kernels for edge deletion problems to immersion closed graph classes"
    - "almost polynomial ratio eth hardness of approximating densest k subgraph"
    - "on the computational complexity of vertex integrity and component order connectivity"
    - "the complexity of approximating vertex expansion"
    - "fixed parameter and approximation algorithms a new look"
    - "polynomial integrality gaps for strong sdp relaxations of densest k subgraph"
    - "a new multilayered pcp and the hardness of hypergraph vertex cover"

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)