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: "diameters of permutation groups on graphs and linear time feasibility test of pebble motion problems"
  Abstract: Let $G$ be an $n$-vertex connected, undirected, simple graph. The vertices of $G$ are populated with $n$ uniquely labeled pebbles, one on each vertex. Allowing pebbles on cycles of $G$ to rotate (synchronous rotations along multiple disjoint cycles are permitted), the resulting pebble permutations form a group $\G$ uniquely determined by $G$. Let the diameter of $\G$ (denoted $diam(\G)$) represent the length of the longest product of generators (cyclic pebble rotations) required to reach an element of $\G$, we show that $diam(\G) = O(n^2)$. #R##N#Extending the formulation to allow $p \le n$ pebbles on an $n$-vertex graph, we obtain a variation of the (classic) pebble motion problem (first fully described in Kornhauser, Miller, and Spirakis, 1984) that also allows rotations of pebbles along a fully occupied cycle. For our formulation as well as the (classic) pebble motion problem, given any start and goal pebble configurations, we provide a linear time algorithm that decides whether the goal configuration is reachable from the start configuration. This gives a positive answer to an open problem raised by (Auletta et al., 1999)

Connected through hyperedge HE-1 (induced by source paper "planning optimal paths for multiple robots on graphs"):
  with members:
    - "distance optimal formation control on graphs with a tight convergence time guarantee"
    - "multi agent path planning and network flow"
    - "pebble motion on graphs with rotations efficient feasibility tests and planning algorithms"
    - "exploiting subgraph structure in multi robot path planning"

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.DS(Data Structures and Algorithms)