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 "counting triangulations and other crossing free structures approximately"):
  Abstract: We consider the problem of counting straight-edge triangulations of a given set $P$ of $n$ points in the plane. Until very recently it was not known whether the exact number of triangulations of $P$ can be computed asymptotically faster than by enumerating all triangulations. We now know that the number of triangulations of $P$ can be computed in $O^{*}(2^{n})$ time, which is less than the lower bound of $\Omega(2.43^{n})$ on the number of triangulations of any point set. In this paper we address the question of whether one can approximately count triangulations in sub-exponential time. We present an algorithm with sub-exponential running time and sub-exponential approximation ratio, that is, denoting by $\Lambda$ the output of our algorithm, and by $c^{n}$ the exact number of triangulations of $P$, for some positive constant $c$, we prove that $c^{n}\leq\Lambda\leq c^{n}\cdot 2^{o(n)}$. This is the first algorithm that in sub-exponential time computes a $(1+o(1))$-approximation of the base of the number of triangulations, more precisely, $c\leq\Lambda^{\frac{1}{n}}\leq(1 + o(1))c$. Our algorithm can be adapted to approximately count other crossing-free structures on $P$, keeping the quality of approximation and running time intact. In this paper we show how to do this for matchings and spanning trees.

Includes members:
  Member "counting and enumerating crossing free geometric graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "an upper bound for min max angle of polygons")
  Member "a simple sweep line algorithm for counting triangulations and pseudo triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "counting and enumerating crossing free geometric graphs")
  Member "counting triangulations and other crossing free structures via onion layers":
    also connected through other hyperedges:
      (none)
  Member "counting plane graphs perfect matchings spanning cycles and kasteleyn s technique":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "circumscribing polygons and polygonizations for disjoint line segments")
  Member "counting plane graphs flippability and its applications":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "colored ray configurations")
  Member "bounds on the maximum multiplicity of some common geometric graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a new lower bound on the maximum number of plane graphs using production matrices")
  Member "counting triangulations of planar point sets":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "from crossing free graphs on wheel sets to embracing simplices and polytopes with few vertices")

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)