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 "extending simple drawings"):
  Abstract: Simple drawings of graphs are those in which each pair of edges share at most one point, either a common endpoint or a proper crossing. In this paper we study the problem of extending a simple drawing $D(G)$ of a graph $G$ by inserting a set of edges from the complement of $G$ into $D(G)$ such that the result is a simple drawing. In the context of rectilinear drawings, the problem is trivial. For pseudolinear drawings, the existence of such an extension follows from Levi's enlargement lemma. In contrast, we prove that deciding if a given set of edges can be inserted into a simple drawing is NP-complete. Moreover, we show that the maximization version of the problem is APX-hard. We also present a polynomial-time algorithm for deciding whether one edge $uv$ can be inserted into $D(G)$ when $\{u,v\}$ is a dominating set for the graph $G$.

Includes members:
  Member "extending upward planar graph drawings":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "an spqr tree like embedding representation for upward planarity")
  Member "topological drawings of complete bipartite graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "efficient generation of different topological representations of graphs beyond planarity")
  Member "saturated simple and 2 simple topological graphs with few edges":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "extending simple drawings with one edge is hard")
  Member "adding one edge to planar graphs makes crossing number and 1 planarity hard":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an experimental study of a 1 planarity testing and embedding algorithm")
  Member "a kuratowski type theorem for planarity of partially embedded graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "extending upward planar graph drawings")

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.CG(Computational Geometry)