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: "on the homotopy test on surfaces"
  Abstract: Let G be a graph cellularly embedded in a surface S. Given two closed walks c and d in G, we take advantage of the RAM model to describe linear time algorithms to decide if c and d are homotopic in S, either freely or with fixed basepoint. We restrict S to be orientable for the free homotopy test, but allow non-orientable surfaces when the basepoint is fixed. After O(|G|) time preprocessing independent of c and d, our algorithms answer the homotopy test in O(|c|+|d|) time, where |G|, |c| and |d| are the respective numbers of edges of G, c and d. As a byproduct we obtain linear time algorithms for the word problem and the conjugacy problem in surface groups. We present a geometric approach based on previous works by Colin de Verdi\`ere and Erickson.

Connected through hyperedge HE-1 (induced by source paper "topologically trivial closed walks in directed surface graphs"):
  with members:
    - "holiest minimum cost paths and flows in surface graphs"
    - "minimum cut of directed planar graphs in o nloglogn time"
    - "computing the geometric intersection number of curves"
    - "multiple source shortest paths in embedded graphs"
    - "shortest non trivial cycles in directed and undirected surface graphs"

Connected through hyperedge HE-2 (induced by source paper "computational topology of graphs on surfaces"):
  with members:
    - "untangling planar curves"
    - "shortest path embeddings of graphs on surfaces"
    - "a direct proof of the strong hanani tutte theorem on the projective plane"
    - "minimum cycle and homology bases of surface embedded graphs"
    - "crossing number is hard for kernelization"
    - "computing the geometric intersection number of curves"
    - "how to walk your dog in the mountains with no magic leash"
    - "beyond the euler characteristic approximating the genus of general graphs"

Connected through hyperedge HE-3 (induced by source paper "on the complexity of optimal homotopies"):
  with members:
    - "from pathwidth to connected pathwidth"

Connected through hyperedge HE-4 (induced by source paper "computing the geometric intersection number of curves"):
  with members:
    - "recognizing weakly simple polygons"
    - "detecting weakly simple polygons"

Connected through hyperedge HE-5 (induced by source paper "testing graph isotopy on surfaces"):
  with members:
    - "dynamic generators of topologically embedded graphs"
    - "computing homotopic shortest paths efficiently"

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)