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: "computing homotopic shortest paths efficiently"
  Abstract: This paper addresses the problem of finding shortest paths homotopic to a given disjoint set of paths that wind amongst point obstacles in the plane. We present a faster algorithm than previously known.

Connected through hyperedge HE-1 (induced by source paper "homotopic curve shortening and the affine curve shortening flow"):
  with members:
    - "crossing minimization in perturbed drawings"
    - "recognizing weak embeddings of graphs"
    - "grid peeling and the affine curve shortening flow"
    - "peeling the grid"

Connected through hyperedge HE-2 (induced by source paper "minimum weight connectivity augmentation for planar straight line graphs"):
  with members:
    - "on the relationship between k planar and k quasi planar graphs"
    - "an annotated bibliography on 1 planarity"
    - "crossing patterns in nonplanar road networks"
    - "two planar graphs are quasiplanar"
    - "on the density of non simple 3 planar graphs"
    - "recognizing and drawing ic planar graphs"
    - "a simplified 1 5 approximation algorithm for augmenting edge connectivity of a graph from 1 to 2"
    - "on the recognition of fan planar and maximal outer fan planar graphs"

Connected through hyperedge HE-3 (induced by source paper "minimum weight connectivity augmentation for planar straight line graphs"):
  with members:
    - "minimum weight connectivity augmentation for planar straight line graphs"
    - "a simplified 1 5 approximation algorithm for augmenting edge connectivity of a graph from 1 to 2"
    - "flip distance between triangulations of a planar point set is apx hard"
    - "fixed parameter algorithms for minimum cost edge connectivity augmentation"
    - "approximating the edge length of 2 edge connected planar geometric graphs on a set of points"

Connected through hyperedge HE-4 (induced by source paper "approximation schemes for partitioning convex decomposition and surface approximation"):
  with members:
    - "qptas for geometric set cover problems via optimal separators"
    - "quasi polynomial time approximation scheme for sparse subsets of polygons"
    - "a qptas for maximum weight independent set of polygons with polylogarithmically many vertices"
    - "approximation schemes for maximum weight independent set of rectangles"

Connected through hyperedge HE-5 (induced by source paper "testing graph isotopy on surfaces"):
  with members:
    - "on the homotopy test on surfaces"
    - "dynamic generators of topologically embedded graphs"

Connected through hyperedge HE-6 (induced by source paper "non crossing connectors in the plane"):
  with members:
    - "optimal polygonal representation of planar graphs"

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)