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 "a proof of the orbit conjecture for flipping edge labelled triangulations"):
  Abstract: Given a triangulation of a point set in the plane, a \emph{flip} deletes an edge $e$ whose removal leaves a convex quadrilateral, and replaces $e$ by the opposite diagonal of the quadrilateral. It is well known that any triangulation of a point set can be reconfigured to any other triangulation by some sequence of flips. We explore this question in the setting where each edge of a triangulation has a label, and a flip transfers the label of the removed edge to the new edge. #R##N#It is not true that every labelled triangulation of a point set can be reconfigured to every other labelled triangulation via a sequence of flips. We characterize when this is possible by proving the \emph{Orbit Conjecture} of Bose, Lubiw, Pathak and Verdonschot which states that \emph{all} labels can be simultaneously mapped to their destination if and only if \emph{each} label individually can be mapped to its destination. #R##N#Furthermore, we give a polynomial-time algorithm to find a sequence of flips to reconfigure one labelled triangulation to another, if such a sequence exists, and we prove an upper bound of $O(n^7)$ on the length of the flip sequence. #R##N#Our proof uses the topological result that the sets of pairwise non-crossing edges on a planar point set form a simplicial complex that is homeomorphic to a high-dimensional ball (this follows from a result of Orden and Santos; we give a different proof based on a shelling argument). The dual cell complex of this simplicial ball, called the \emph{flip complex}, has the usual flip graph as its $1$-skeleton. We use properties of the $2$-skeleton of the flip complex to prove the Orbit Conjecture.

Includes members:
  Member "reconfiguring ordered bases of a matroid":
    also connected through other hyperedges:
      (none)
  Member "flips in edge labelled pseudo triangulations":
    also connected through other hyperedges:
      (none)
  Member "flip distance between triangulations of a simple polygon is np complete":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "shortest reconfiguration of perfect matchings via alternating cycles")
  Member "flip distance between triangulations of a planar point set is apx hard":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "shortest reconfiguration of perfect matchings via alternating cycles")
  Member "computing the flip distance between triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "an improved fpt algorithm for the flip distance problem")
  Member "the complexity of change":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "dominating sets reconfiguration under token sliding")
  Member "flipping edge labelled triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a polynomial version of cereceda s conjecture")
  Member "flip distance between two triangulations of a point set is np complete":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "shortest reconfiguration of perfect matchings via alternating cycles")

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)