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 "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.

Includes members:
  Member "a new perspective on clustered planarity as a combinatorial embedding problem":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "c planarity testing of embedded clustered graphs with bounded dual carving width")
  Member "disconnectivity and relative positions in simultaneous embeddings":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "hierarchical partial planarity")
  Member "simultaneous embedding of planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "atomic embeddability clustered planarity and thickenability")
  Member "simultaneous pq ordering with applications to constrained embedding problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "atomic embeddability clustered planarity and thickenability")
  Member "testing simultaneous planarity when the common graph is 2 connected":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "atomic embeddability clustered planarity and thickenability")

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.DS(Data Structures and Algorithms)