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: "how to walk your dog in the mountains with no magic leash"
  Abstract: We describe a $O(\log n )$-approximation algorithm for computing the homotopic \Frechet distance between two polygonal curves that lie on the boundary of a triangulated topological disk. Prior to this work, algorithms were known only for curves on the Euclidean plane with polygonal obstacles. #R##N#A key technical ingredient in our analysis is a $O(\log n)$-approximation algorithm for computing the minimum height of a homotopy between two curves. No algorithms were previously known for approximating this parameter. Surprisingly, it is not even known if computing either the homotopic \Frechet distance, or the minimum height of a homotopy, is in NP.

Connected through hyperedge HE-1 (induced by source paper "homotopy height grid major height and graph drawing height"):
  with members:
    - "on the complexity of optimal homotopies"
    - "flat foldings of plane graphs with prescribed angles and edge lengths"
    - "computing cartograms with optimal complexity"

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"
    - "beyond the euler characteristic approximating the genus of general graphs"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"

Connected through hyperedge HE-3 (induced by source paper "four soviets walk the dog improved bounds for computing the frechet distance"):
  with members:
    - "computing the frechet distance with a retractable leash"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "threesomes degenerates and love triangles"
    - "locally correct frechet matchings"
    - "on range searching with semialgebraic sets ii"
    - "can we compute the similarity between surfaces"

Connected through hyperedge HE-4 (induced by source paper "measuring similarity between curves on 2 manifolds via homotopy area"):
  with members:
    - "four soviets walk the dog with an application to alt s conjecture"
    - "computing the discrete fr echet distance in subquadratic time"

Connected through hyperedge HE-5 (induced by source paper "four soviets walk the dog with an application to alt s conjecture"):
  with members:
    - "computing the frechet distance with a retractable leash"
    - "locally correct frechet matchings"
    - "necklaces convolutions and x y"
    - "on range searching with semialgebraic sets ii"
    - "computing the discrete fr echet distance in subquadratic time"
    - "can we compute the similarity between surfaces"

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)