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 via onion layers"):
  Abstract: Let $P$ be a set of $n$ points in the plane. A crossing-free structure on $P$ is a plane graph with vertex set $P$. Examples of crossing-free structures include triangulations of $P$, spanning cycles of $P$, also known as polygonalizations of $P$, among others. In this paper we develop a general technique for computing the number of crossing-free structures of an input set $P$. We apply the technique to obtain algorithms for computing the number of triangulations, matchings, and spanning cycles of $P$. The running time of our algorithms is upper bounded by $n^{O(k)}$, where $k$ is the number of onion layers of $P$. In particular, for $k = O(1)$ our algorithms run in polynomial time. In addition, we show that our algorithm for counting triangulations is never slower than $O^{*}(3.1414^{n})$, even when $k = \Theta(n)$. Given that there are several well-studied configurations of points with at least $\Omega(3.464^{n})$ triangulations, and some even with $\Omega(8^{n})$ triangulations, our algorithm asymptotically outperforms any enumeration algorithm for such instances. In fact, it is widely believed that any set of $n$ points must have at least $\Omega(3.464^{n})$ triangulations. If this is true, then our algorithm is strictly sub-linear in the number of triangulations counted. We also show that our techniques are general enough to solve the "Restricted-Triangulation-Counting-Problem", which we prove to be $W[2]$-hard in the parameter $k$. This implies a "no free lunch" result: In order to be fixed-parameter tractable, our general algorithm must rely on additional properties that are specific to the considered class of structures.

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 "counting triangulations and other crossing free structures approximately":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "exact uniform sampling over catalan structures")
  Member "a simple sweep line algorithm for counting triangulations and pseudo triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "counting and enumerating crossing free geometric graphs")
  Member "counting plane graphs perfect matchings spanning cycles and kasteleyn s technique":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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-5 (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-6 (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-7 (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)