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: "design of dynamic algorithms via primal dual method"
  Abstract: We develop a dynamic version of the primal-dual method for optimization problems, and apply it to obtain the following results. (1) For the dynamic set-cover problem, we maintain an $O(f^2)$-approximately optimal solution in $O(f \cdot \log (m+n))$ amortized update time, where $f$ is the maximum "frequency" of an element, $n$ is the number of sets, and $m$ is the maximum number of elements in the universe at any point in time. (2) For the dynamic $b$-matching problem, we maintain an $O(1)$-approximately optimal solution in $O(\log^3 n)$ amortized update time, where $n$ is the number of nodes in the graph.

Connected through hyperedge HE-1 (induced by source paper "an improved algorithm for dynamic set cover"):
  with members:
    - "a new deterministic algorithm for dynamic set cover"
    - "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
    - "fully dynamic maximal matching in constant update time"
    - "online and dynamic algorithms for set cover"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "analytical approach to parallel repetition"
    - "simple deterministic algorithms for fully dynamic maximal matching"
    - "fully dynamic maximal matching in o log n update time"

Connected through hyperedge HE-2 (induced by source paper "dynamic geometric set cover and hitting set"):
  with members:
    - "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "online and dynamic algorithms for set cover"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "analytical approach to parallel repetition"
    - "simple deterministic algorithms for fully dynamic maximal matching"
    - "fully dynamic maximal matching in o log n update time"

Connected through hyperedge HE-3 (induced by source paper "dynamic set cover improved algorithms lower bounds"):
  with members:
    - "fully dynamic mis in uniformly sparse graphs"
    - "fully dynamic maximal independent set with sublinear update time"
    - "hardness of approximate nearest neighbor search"
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "tight bounds on the round complexity of the distributed maximum coverage problem"
    - "distributed pcp theorems for hardness of approximation in p"
    - "dynamic algorithms for graph coloring"
    - "decremental single source reachability in planar digraphs"

Connected through hyperedge HE-4 (induced by source paper "deterministically maintaining a 2 epsilon approximate minimum vertex cover in o 1 epsilon 2 amortized update time"):
  with members:
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic matching reducing integral algorithms to approximately maximal fractional algorithms"
    - "fully dynamic almost maximal matching breaking the polynomial barrier for worst case time bounds"
    - "fully dynamic maximal matching in constant update time"
    - "fully dynamic matching in bipartite graphs"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "orienting fully dynamic graphs with worst case time bounds"
    - "simple deterministic algorithms for fully dynamic maximal matching"

Connected through hyperedge HE-5 (induced by source paper "an o 1 approximation algorithm for dynamic weighted vertex cover with soft capacity"):
  with members:
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
    - "fully dynamic maximal matching in constant update time"
    - "online and dynamic algorithms for set cover"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "simple deterministic algorithms for fully dynamic maximal matching"
    - "fully dynamic maximal matching in o log n update time"
    - "dynamic ordered sets with exponential search trees"

Connected through hyperedge HE-6 (induced by source paper "distributed pcp theorems for hardness of approximation in p"):
  with members:
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "the curse of medium dimension for geometric problems in almost every norm"
    - "on the hardness of partially dynamic graph problems and connections to diameter"
    - "a framework for similarity search with space time tradeoffs using locality sensitive filtering"
    - "optimal hashing based time space trade offs for approximate near neighbors"
    - "on the complexity of inner product similarity join"
    - "on problems as hard as cnf sat"

Connected through hyperedge HE-7 (induced by source paper "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"):
  with members:
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "fully dynamic matching in bipartite graphs"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "higher lower bounds from the 3sum conjecture"
    - "simple deterministic algorithms for fully dynamic maximal matching"

Connected through hyperedge HE-8 (induced by source paper "dynamic algorithms for graph coloring"):
  with members:
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic graph coloring"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "on the hardness of partially dynamic graph problems and connections to diameter"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "higher lower bounds from the 3sum conjecture"
    - "dynamic approximate all pairs shortest paths breaking the o mn barrier and derandomization"
    - "fully dynamic maximal matching in o log n update time"

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)