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: "simultaneous embedding edge orderings relative positions cutvertices"
  Abstract: A simultaneous embedding (with fixed edges) of two graphs $G^1$ and $G^2$ with common graph $G=G^1 \cap G^2$ is a pair of planar drawings of $G^1$ and $G^2$ that coincide on $G$. It is an open question whether there is a polynomial-time algorithm that decides whether two graphs admit a simultaneous embedding (problem SEFE). #R##N#In this paper, we present two results. First, a set of three linear-time preprocessing algorithms that remove certain substructures from a given SEFE instance, producing a set of equivalent SEFE instances without such substructures. The structures we can remove are (1) cutvertices of the union graph $G^\cup = G^1 \cup G^2$, (2) most separating pairs of $G^\cup$, and (3) connected components of $G$ that are biconnected but not a cycle. #R##N#Second, we give an $O(n^3)$-time algorithm solving SEFE for instances with the following restriction. Let $u$ be a pole of a P-node $\mu$ in the SPQR-tree of a block of $G^1$ or $G^2$. Then at most three virtual edges of $\mu$ may contain common edges incident to $u$. All algorithms extend to the sunflower case, i.e., to the case of more than three graphs pairwise intersecting in the same common graph.

Connected through hyperedge HE-1 (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"
    - "detecting weakly simple polygons"
    - "clustered planarity testing revisited"
    - "simultaneous embedding of planar graphs"
    - "simultaneous pq ordering with applications to constrained embedding problems"

Connected through hyperedge HE-2 (induced by source paper "an spqr tree like embedding representation for upward planarity"):
  with members:
    - "extending upward planar graph drawings"
    - "bend minimum orthogonal drawings in quadratic time"
    - "level planarity transitivity vs even crossings"
    - "orthogonal graph drawing with inflexible edges"
    - "planar embeddings with small and uniform faces"
    - "optimal orthogonal graph drawing with convex bend costs"
    - "a kuratowski type theorem for planarity of partially embedded graphs"
    - "simultaneous embedding of planar graphs"

Connected through hyperedge HE-3 (induced by source paper "on the mathcal np hardness of gracsim drawing and k sefe problems"):
  with members:
    - "simultaneous drawing of planar graphs with right angle crossings and few bends"
    - "simultaneous embeddings with few bends and crossings"
    - "simultaneous visibility representations of plane st graphs using l shapes"
    - "drawing partially embedded and simultaneously planar graphs"
    - "sefe with no mapping via large induced outerplane graphs in plane graphs"
    - "advancements on sefe and partitioned book embedding problems"
    - "simultaneous embedding of planar graphs"
    - "simultaneous pq ordering with applications to constrained embedding problems"

Connected through hyperedge HE-4 (induced by source paper "simultaneous orthogonal planarity"):
  with members:
    - "simultaneous drawing of planar graphs with right angle crossings and few bends"
    - "advancements on sefe and partitioned book embedding problems"
    - "disconnectivity and relative positions in simultaneous embeddings"
    - "simultaneous pq ordering with applications to constrained embedding problems"
    - "testing simultaneous planarity when the common graph is 2 connected"
    - "simultaneous interval graphs"

Connected through hyperedge HE-5 (induced by source paper "simultaneous drawing of planar graphs with right angle crossings and few bends"):
  with members:
    - "two page book embeddings of 4 planar graphs"
    - "simultaneous embedding of planar graphs"
    - "testing simultaneous planarity when the common graph is 2 connected"
    - "on a tree and a path with no geometric simultaneous embedding"
    - "simultaneous embedding of a planar graph and its dual on the grid"

Connected through hyperedge HE-6 (induced by source paper "planarity of streamed graphs"):
  with members:
    - "advancements on sefe and partitioned book embedding problems"
    - "picking planar edges or drawing a graph with a planar subgraph"
    - "algorithms and bounds for drawing non planar graphs with crossing free subgraphs"
    - "simultaneous embedding of planar graphs"

Connected through hyperedge HE-7 (induced by source paper "advancements on sefe and partitioned book embedding problems"):
  with members:
    - "disconnectivity and relative positions in simultaneous embeddings"
    - "relaxing the constraints of clustered planarity"
    - "beyond clustered planarity"
    - "simultaneous embedding of planar graphs"
    - "simultaneous pq ordering with applications to constrained embedding problems"
    - "testing simultaneous planarity when the common graph is 2 connected"

Connected through hyperedge HE-8 (induced by source paper "algorithms and bounds for drawing non planar graphs with crossing free subgraphs"):
  with members:
    - "planarity of streamed graphs"
    - "advancements on sefe and partitioned book embedding problems"
    - "picking planar edges or drawing a graph with a planar subgraph"
    - "simultaneous embedding of planar graphs"
    - "testing simultaneous planarity when the common graph is 2 connected"

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.DS(Data Structures and Algorithms)