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: "the theory of the interleaving distance on multidimensional persistence modules"
  Abstract: In 2009, Chazal et al. introduced $$\epsilon $$∈-interleavings of persistence modules. $$\epsilon $$∈-interleavings induce a pseudometric $$d_\mathrm{I}$$dI on (isomorphism classes of) persistence modules, the interleaving distance. The definitions of $$\epsilon $$∈-interleavings and $$d_\mathrm{I}$$dI generalize readily to multidimensional persistence modules. In this paper, we develop the theory of multidimensional interleavings, with a view toward applications to topological data analysis. We present four main results. First, we show that on 1-D persistence modules, $$d_\mathrm{I}$$dI is equal to the bottleneck distance $$d_\mathrm{B}$$dB. This result, which first appeared in an earlier preprint of this paper, has since appeared in several other places, and is now known as the isometry theorem. Second, we present a characterization of the $$\epsilon $$∈-interleaving relation on multidimensional persistence modules. This expresses transparently the sense in which two $$\epsilon $$∈-interleaved modules are algebraically similar. Third, using this characterization, we show that when we define our persistence modules over a prime field, $$d_\mathrm{I}$$dI satisfies a universality property. This universality result is the central result of the paper. It says that $$d_\mathrm{I}$$dI satisfies a stability property generalizing one which $$d_\mathrm{B}$$dB is known to satisfy, and that in addition, if $$d$$d is any other pseudometric on multidimensional persistence modules satisfying the same stability property, then $$d\le d_\mathrm{I}$$d≤dI. We also show that a variant of this universality result holds for $$d_\mathrm{B}$$dB, over arbitrary fields. Finally, we show that $$d_\mathrm{I}$$dI restricts to a metric on isomorphism classes of finitely presented multidimensional persistence modules.

Connected through hyperedge HE-1 (induced by source paper "a kernel for multi parameter persistent homology"):
  with members:
    - "sliced wasserstein kernel for persistence diagrams"
    - "a persistence landscapes toolbox for topological statistics"
    - "deep learning with topological signatures"
    - "the rank invariant stability via interleavings"
    - "classification of hepatic lesions using the matching metric"

Connected through hyperedge HE-2 (induced by source paper "computing bottleneck distance for multi parameter interval decomposable persistence modules"):
  with members:
    - "computational complexity of the interleaving distance"
    - "geometry helps to compare persistence diagrams"
    - "categorified reeb graphs"
    - "the rank invariant stability via interleavings"

Connected through hyperedge HE-3 (induced by source paper "filtration simplification for persistent homology via edge contraction"):
  with members:
    - "strong collapse for persistence"
    - "geometry helps to compare persistence diagrams"
    - "edge contractions and simplicial homology"
    - "computing topological persistence for simplicial maps"

Connected through hyperedge HE-4 (induced by source paper "computing the interleaving distance is np hard"):
  with members:
    - "computational complexity of the interleaving distance"
    - "geometry helps to compare persistence diagrams"
    - "deterministic polynomial time algorithms for matrix completion problems"

Connected through hyperedge HE-5 (induced by source paper "computing wasserstein distance for persistence diagrams on a quantum computer"):
  with members:
    - "quasi periodicity quantification in video data using topology"
    - "geometry helps to compare persistence diagrams"

Connected through hyperedge HE-6 (induced by source paper "distributions of matching distances in topological data analysis"):
  with members:
    - "the rank invariant stability via interleavings"

Connected through hyperedge HE-7 (induced by source paper "the persistent homotopy type distance"):
  with members:
    - "homology and robustness of level and interlevel sets"

Connected through hyperedge HE-8 (induced by source paper "computational complexity of the interleaving distance"):
  with members:
    - "categorified reeb graphs"

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.CG(Computational Geometry)