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: "arc diagrams flip distances and hamiltonian triangulations"
  Abstract: We show that every triangulation (maximal planar graph) on $n\ge 6$ vertices can be flipped into a Hamiltonian triangulation using a sequence of less than $n/2$ combinatorial edge flips. The previously best upper bound uses $4$-connectivity as a means to establish Hamiltonicity. But in general about $3n/5$ flips are necessary to reach a $4$-connected triangulation. Our result improves the upper bound on the diameter of the flip graph of combinatorial triangulations on $n$ vertices from $5.2n-33.6$ to $5n-23$. We also show that for every triangulation on $n$ vertices there is a simultaneous flip of less than $2n/3$ edges to a $4$-connected triangulation. The bound on the number of edges is tight, up to an additive constant. As another application we show that every planar graph on $n$ vertices admits an arc diagram with less than $n/2$ biarcs, that is, after subdividing less than $n/2$ (of potentially $3n-6$) edges the resulting graph admits a $2$-page book embedding.

Connected through hyperedge HE-1 (induced by source paper "upward book embeddings of st graphs"):
  with members:
    - "upward planar morphs"
    - "windrose planarity embedding graphs with direction constrained edges"
    - "crossing minimization for 1 page and 2 page drawings of graphs with bounded treewidth"
    - "upward partitioned book embeddings"
    - "planar l drawings of directed graphs"
    - "the book thickness of 1 planar graphs is constant"
    - "intersection link representations of graphs"
    - "two page book embeddings of 4 planar graphs"

Connected through hyperedge HE-2 (induced by source paper "on smooth orthogonal and octilinear drawings relations complexity and kandinsky drawings"):
  with members:
    - "drawing hv restricted planar graphs"
    - "on the total number of bends for planar octilinear drawings"
    - "orthogonal graph drawing with inflexible edges"
    - "planar octilinear drawings with one bend per edge"
    - "smooth orthogonal drawings of planar graphs"
    - "planar lombardi drawings for subcubic graphs"
    - "lombardi drawings of graphs"

Connected through hyperedge HE-3 (induced by source paper "non aligned drawings of planar graphs"):
  with members:
    - "drawing planar graphs with many collinear vertices"
    - "the 3 1 ordering for 4 connected planar triangulations"
    - "making triangulations 4 connected using flips"

Connected through hyperedge HE-4 (induced by source paper "a lower bound on the diameter of the flip graph"):
  with members:
    - "making triangulations 4 connected using flips"
    - "a history of flips in combinatorial triangulations"

Connected through hyperedge HE-5 (induced by source paper "flipping edge labelled triangulations"):
  with members:
    - "flip distance between triangulations of a planar point set is apx hard"
    - "a history of flips in combinatorial triangulations"
    - "the complexity of rerouting shortest paths"
    - "happy endings for flip graphs"
    - "the connectivity of boolean satisfiability computational and structural dichotomies"

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)