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: "forall exists mathbb r completeness and area universality"
  Abstract: In the study of geometric problems, the complexity class $\exists \mathbb{R}$ turned out to play a crucial role. It exhibits a deep connection between purely geometric problems and real algebra, and is sometimes referred to as the "real analogue" to the class NP. While NP can be considered as a class of computational problems that deals with existentially quantified boolean variables, $\exists \mathbb{R}$ deals with existentially quantified real variables. In analogy to $\Pi_2^p$ and $\Sigma_2^p$ in the famous polynomial hierarchy, we introduce and motivate the complexity classes $\forall\exists \mathbb{R}$ and $\exists \forall \mathbb{R}$ with real variables. Our main interest is focused on the Area Universality problem, where we are given a plane graph $G$, and ask if for each assignment of areas to the inner faces of $G$ there is an area-realizing straight-line drawing of $G$. We conjecture that the problem Area Universality is $\forall\exists \mathbb{R}$-complete and support this conjecture by a series of partial results, where we prove $\exists \mathbb{R}$- and $\forall\exists \mathbb{R}$-completeness of variants of Area Universality. To do so, we also introduce first tools to study $\forall\exists \mathbb{R}$, such as restricted variants of UETR, which are $\forall\exists \mathbb{R}$-complete. Finally, we present geometric problems as candidates for $\forall\exists \mathbb{R}$-complete problems. These problems have connections to the concepts of imprecision, robustness, and extendability.

Connected through hyperedge HE-1 (induced by source paper "the complexity of drawing a graph in a polygonal region"):
  with members:
    - "the art gallery problem is exists mathbb r complete"
    - "on the complexity of minimum link path problems"
    - "irrational guards are sometimes needed"
    - "the galois complexity of graph drawing why numerical solutions are ubiquitous for force directed spectral and circle packing drawings"
    - "drawing partially embedded and simultaneously planar graphs"
    - "intersection graphs of segments and exists mathbb r"
    - "drawing graphs in the plane with a prescribed outer face and polynomial area"

Connected through hyperedge HE-2 (induced by source paper "on the area universality of triangulations"):
  with members:
    - "windrose planarity embedding graphs with direction constrained edges"
    - "the state of the art in cartograms"
    - "computing cartograms with optimal complexity"

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.CG(Computational Geometry)