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: "fast algorithms for diameter optimally augmenting paths and trees"
  Abstract: We consider the problem of augmenting an n-vertex graph embedded in a metric space, by inserting one additional edge in order to minimize the diameter of the resulting graph. We present exact algorithms for the cases when (i) the input graph is a path, running in O(n \log^3 n) time, and (ii) the input graph is a tree, running in O(n^2 \log n) time. We also present an algorithm that computes a (1+\eps)-approximation in O(n + 1/\eps^3) time, for paths in R^d, where d is a constant.

Connected through hyperedge HE-1 (induced by source paper "a linear time algorithm for radius optimally augmenting paths in a metric space"):
  with members:
    - "almost optimal algorithms for diameter optimally augmenting trees"
    - "an improved algorithm for diameter optimally augmenting paths in a metric space"
    - "minimizing the continuous diameter when augmenting a tree with a shortcut"
    - "minimizing the continuous diameter when augmenting paths and cycles with shortcuts"
    - "augmenting graphs to minimize the diameter"

Connected through hyperedge HE-2 (induced by source paper "minimizing the continuous diameter when augmenting a geometric tree with a shortcut"):
  with members:
    - "an improved algorithm for diameter optimally augmenting paths in a metric space"
    - "minimizing the continuous diameter when augmenting paths and cycles with shortcuts"
    - "augmenting graphs to minimize the diameter"

Connected through hyperedge HE-3 (induced by source paper "minimizing the continuous diameter when augmenting a tree with a shortcut"):
  with members:
    - "minimizing the continuous diameter when augmenting paths and cycles with shortcuts"
    - "augmenting graphs to minimize the diameter"

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)