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: "fully dynamic 1 epsilon approximate matchings"
  Abstract: We present the first data structures that maintain near optimal maximum cardinality and maximum weighted matchings on sparse graphs in sublinear time per update. Our main result is a data structure that maintains a $(1+\epsilon)$ approximation of maximum matching under edge insertions/deletions in worst case $O(\sqrt{m}\epsilon^{-2})$ time per update. This improves the 3/2 approximation given in [Neiman,Solomon,STOC 2013] which runs in similar time. The result is based on two ideas. The first is to re-run a static algorithm after a chosen number of updates to ensure approximation guarantees. The second is to judiciously trim the graph to a smaller equivalent one whenever possible. #R##N#We also study extensions of our approach to the weighted setting, and combine it with known frameworks to obtain arbitrary approximation ratios. For a constant $\epsilon$ and for graphs with edge weights between 1 and N, we design an algorithm that maintains an $(1+\epsilon)$-approximate maximum weighted matching in $O(\sqrt{m} \log N)$ time per update. The only previous result for maintaining weighted matchings on dynamic graphs has an approximation ratio of 4.9108, and was shown in [Anand,Baswana,Gupta,Sen, FSTTCS 2012, arXiv 2012].

Connected through hyperedge HE-1 (induced by source paper "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"):
  with members:
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "online and dynamic algorithms for set cover"
    - "design of dynamic algorithms via primal dual method"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "simple deterministic algorithms for fully dynamic maximal matching"

Connected through hyperedge HE-2 (induced by source paper "maximum matching on trees in the online preemptive and the incremental dynamic graph models"):
  with members:
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "fully dynamic maximal matching in constant update time"
    - "on randomized algorithms for matching in the online preemptive model"
    - "improved bounds for online preemptive matching"
    - "improved approximation guarantees for weighted matching in the semi streaming model"
    - "buyback problem approximate matroid intersection with cancellation costs"

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)