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: "an approximation algorithm for the art gallery problem"
  Abstract: Given a simple polygon $\mathcal{P}$ on $n$ vertices, two points $x,y$ in $\mathcal{P}$ are said to be visible to each other if the line segment between $x$ and $y$ is contained in $\mathcal{P}$. The Point Guard Art Gallery problem asks for a minimum set $S$ such that every point in $\mathcal{P}$ is visible from a point in $S$. The set $S$ is referred to as guards. Assuming integer coordinates and a specific general position assumption, we present the first $O(\log \text{OPT})$-approximation algorithm for the point guard problem for simple polygons. This algorithm combines ideas of a paper of Efrat and Har-Peled [Inf. Process. Lett. 2006] and Deshpande et. al. [WADS 2007]. We also point out a mistake in the latter.

Connected through hyperedge HE-1 (induced by source paper "the parameterized complexity of guarding almost convex polygons"):
  with members:
    - "a ptas for vertex guarding weakly visible polygons an extended abstract"
    - "constant approximation algorithms for guarding simple polygons using vertex guards"
    - "irrational guards are sometimes needed"
    - "engineering art galleries"
    - "approximability of guarding weak visibility polygons"
    - "a new upper bound for the vc dimension of visibility regions"
    - "improved approximation for guarding simple galleries from the perimeter"
    - "unsolved problems in visibility graphs of points segments and polygons"

Connected through hyperedge HE-2 (induced by source paper "a constant factor approximation algorithm for vertex guarding a wv polygon"):
  with members:
    - "a ptas for vertex guarding weakly visible polygons an extended abstract"
    - "constant approximation algorithms for guarding simple polygons using vertex guards"
    - "the continuous 1 5d terrain guarding problem discretization optimal solutions and ptas"
    - "approximability of guarding weak visibility polygons"
    - "improved approximation for guarding simple galleries from the perimeter"

Connected through hyperedge HE-3 (induced by source paper "on conflict free chromatic guarding of simple polygons"):
  with members:
    - "a ptas for vertex guarding weakly visible polygons an extended abstract"
    - "approximability of guarding weak visibility polygons"
    - "improved approximation for guarding simple galleries from the perimeter"

Connected through hyperedge HE-4 (induced by source paper "smoothed analysis of the art gallery problem"):
  with members:
    - "beyond worst case analysis"
    - "the complexity of drawing a graph in a polygonal region"
    - "a friendly smoothed analysis of the simplex method"
    - "constant approximation algorithms for guarding simple polygons using vertex guards"
    - "irrational guards are sometimes needed"
    - "intersection graphs of rays and grounded segments"
    - "the continuous 1 5d terrain guarding problem discretization optimal solutions and ptas"
    - "recognition and complexity of point visibility graphs"

Connected through hyperedge HE-5 (induced by source paper "constant approximation algorithms for guarding simple polygons using vertex guards"):
  with members:
    - "a ptas for vertex guarding weakly visible polygons an extended abstract"
    - "vertex guarding in weak visibility polygons"
    - "improved approximation for guarding simple galleries from the perimeter"

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)