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 "upward book embeddings of st graphs"):
  Abstract: We study $k$-page upward book embeddings ($k$UBEs) of $st$-graphs, that is, book embeddings of single-source single-sink directed acyclic graphs on $k$ pages with the additional requirement that the vertices of the graph appear in a topological ordering along the spine of the book. We show that testing whether a graph admits a $k$UBE is NP-complete for $k\geq 3$. A hardness result for this problem was previously known only for $k = 6$ [Heath and Pemmaraju, 1999]. Motivated by this negative result, we focus our attention on $k=2$. On the algorithmic side, we present polynomial-time algorithms for testing the existence of $2$UBEs of planar $st$-graphs with branchwidth $\beta$ and of plane $st$-graphs whose faces have a special structure. These algorithms run in $O(f(\beta)\cdot n+n^3)$ time and $O(n)$ time, respectively, where $f$ is a singly-exponential function on $\beta$. Moreover, on the combinatorial side, we present two notable families of plane $st$-graphs that always admit an embedding-preserving $2$UBE.

Includes members:
  Member "upward planar morphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "extending upward planar graph drawings")
  Member "windrose planarity embedding graphs with direction constrained edges":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "extending upward planar graph drawings")
  Member "crossing minimization for 1 page and 2 page drawings of graphs with bounded treewidth":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "sketched representations and orthogonal planarity of bounded treewidth graphs")
  Member "upward partitioned book embeddings":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "book embeddings of nonplanar graphs with small faces in few pages")
  Member "planar l drawings of directed graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "extending upward planar graph drawings")
  Member "arc diagrams flip distances and hamiltonian triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on smooth orthogonal and octilinear drawings relations complexity and kandinsky drawings")
  Member "the book thickness of 1 planar graphs is constant":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "book embeddings of nonplanar graphs with small faces in few pages")
  Member "intersection link representations of graphs":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "c planarity testing of embedded clustered graphs with bounded dual carving width")

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)