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: "detecting weakly simple polygons"
  Abstract: A closed curve in the plane is weakly simple if it is the limit (in the Frechet metric) of a sequence of simple closed curves. We describe an algorithm to determine whether a closed walk of length n in a simple plane graph is weakly simple in O(n log n) time, improving an earlier O(n3)-time algorithm of Cortese et al. [Discrete Math. 2009]. As an immediate corollary, we obtain the first efficient algorithm to determine whether an arbitrary n-vertex polygon is weakly simple; our algorithm runs in O(n2 log n) time. We also describe algorithms that detect weak simplicity in O(n log n) time for two interesting classes of polygons. Finally, we discuss subtle errors in several previously published definitions of weak simplicity.

Connected through hyperedge HE-1 (induced by source paper "minimum cuts in surface graphs"):
  with members:
    - "holiest minimum cost paths and flows in surface graphs"
    - "computational topology and the unique games conjecture"
    - "finding all useless arcs in directed planar graphs"
    - "local flow partitioning for faster edge connectivity"
    - "minor free graphs have light spanners"
    - "minimum cycle and homology bases of surface embedded graphs"
    - "recognizing weakly simple polygons"
    - "fully polynomial time parameterized computations for graphs and matrices of low treewidth"

Connected through hyperedge HE-2 (induced by source paper "atomic embeddability clustered planarity and thickenability"):
  with members:
    - "recognizing weak embeddings of graphs"
    - "hanani tutte for approximating maps of graphs"
    - "clustered planarity with pipes"
    - "recognizing weakly simple polygons"
    - "simultaneous embedding edge orderings relative positions cutvertices"
    - "clustered planarity testing revisited"
    - "simultaneous embedding of planar graphs"
    - "simultaneous pq ordering with applications to constrained embedding problems"

Connected through hyperedge HE-3 (induced by source paper "rock climber distance frogs versus dogs"):
  with members:
    - "the k fr echet distance"
    - "four soviets walk the dog improved bounds for computing the frechet distance"
    - "recognizing weakly simple polygons"
    - "an optimal algorithm for minimum link rectilinear paths in triangulated rectilinear domains"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "minimum link paths revisited"
    - "the problem of compatible representatives"

Connected through hyperedge HE-4 (induced by source paper "crossing minimization in perturbed drawings"):
  with members:
    - "recognizing weak embeddings of graphs"
    - "hanani tutte for approximating maps of graphs"
    - "recognizing weakly simple polygons"
    - "adding one edge to planar graphs makes crossing number and 1 planarity hard"

Connected through hyperedge HE-5 (induced by source paper "geodesic farthest point voronoi diagram in linear time"):
  with members:
    - "computing a geodesic two center of points in a simple polygon"
    - "voronoi diagrams for a moderate sized point set in a simple polygon"
    - "a linear time algorithm for the geodesic center of a simple polygon"

Connected through hyperedge HE-6 (induced by source paper "reconstruction of weakly simple polygons from their edges"):
  with members:
    - "on planar variants of the monotone satisfiability problem with bounded variable appearances"
    - "recognizing weakly simple polygons"

Connected through hyperedge HE-7 (induced by source paper "hanani tutte for approximating maps of graphs"):
  with members:
    - "recognizing weak embeddings of graphs"
    - "bounded embeddings of graphs in the plane"
    - "clustered planarity with pipes"
    - "embedding graphs into embedded graphs"
    - "powers of tensors and fast matrix multiplication"
    - "toward the hanani tutte theorem for clustered graphs"
    - "clustered planarity testing revisited"
    - "simultaneous pq ordering with applications to constrained embedding problems"

Connected through hyperedge HE-8 (induced by source paper "recognizing weak embeddings of graphs"):
  with members:
    - "clustered planarity flat clustered planarity"
    - "hanani tutte for approximating maps of graphs"
    - "clustered planarity with pipes"
    - "recognizing weakly simple polygons"
    - "embedding graphs into embedded graphs"
    - "strip planarity testing of embedded planar 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)