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: "online and dynamic algorithms for set cover"
  Abstract: In this paper, we study the set cover problem in the fully dynamic model. In this model, the set of active elements, i.e., those that must be covered at any given time, can change due to element arrivals and departures. The goal is to maintain an algorithmic solution that is competitive with respect to the current optimal solution. This model is popular in both the dynamic algorithms and online algorithms communities. The difference is in the restriction placed on the algorithm: in dynamic algorithms, the running time of the algorithm making updates (called update time) is bounded, while in online algorithms, the number of updates made to the solution (called recourse) is limited. #R##N#In this paper we show the following results: In the update time setting, we obtain O(log n)-competitiveness with O(f log n) amortized update time, and O(f^3)-competitiveness with O(f^2) update time. The O(log n)-competitive algorithm is the first one to achieve a competitive ratio independent of f in this setting. In the recourse setting, we show a competitive ratio of O(min{log n,f}) with constant amortized recourse. Note that this matches the best offline bounds with just constant recourse, something that is impossible in the classical online model. #R##N#Our results are based on two algorithmic frameworks in the fully-dynamic model that are inspired by the classic greedy and primal-dual algorithms for offline set cover. We show that both frameworks can be used for obtaining both recourse and update time bounds, thereby demonstrating algorithmic techniques common to these strands of research.

Connected through hyperedge HE-1 (induced by source paper "the power of recourse better algorithms for facility location in online and dynamic models"):
  with members:
    - "a tree structure for dynamic facility location"
    - "facility location problem in differential privacy model revisited"
    - "online facility location with deletions"
    - "online bipartite matching with amortized o log 2 n replacements"
    - "efficient construction of probabilistic tree embeddings"
    - "facility location in evolving metrics"
    - "online network design algorithms via hierarchical decompositions"
    - "dynamic facility location via exponential clocks"

Connected through hyperedge HE-2 (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"
    - "design of dynamic algorithms via primal dual method"
    - "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 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"
    - "design of dynamic algorithms via primal dual method"
    - "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-4 (induced by source paper "rounding dynamic matchings against an adaptive adversary"):
  with members:
    - "decremental sssp in weighted digraphs faster and against an adaptive adversary"
    - "deterministic algorithms for decremental approximate shortest paths faster and simpler"
    - "tight bounds for online edge coloring"
    - "distributed weighted matching via randomized composable coresets"
    - "online matching with general arrivals"
    - "dynamic low stretch trees via dynamic low diameter decompositions"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "towards a unified theory of sparsification for matching problems"

Connected through hyperedge HE-5 (induced by source paper "improved dynamic graph coloring"):
  with members:
    - "fully dynamic mis in uniformly sparse graphs"
    - "fully dynamic maximal independent set with sublinear update time"
    - "testing bounded arboricity"
    - "fully dynamic almost maximal matching breaking the polynomial barrier for worst case time bounds"
    - "the shortest augmenting paths for online matchings on trees"
    - "dynamic algorithms for graph coloring"
    - "dynamic graph coloring"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"

Connected through hyperedge HE-6 (induced by source paper "a new deterministic algorithm for dynamic set cover"):
  with members:
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "breaking quadratic time for small vertex connectivity and an approximation scheme"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic minimum spanning forest with subpolynomial 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"

Connected through hyperedge HE-7 (induced by source paper "fully dynamic maximal independent set with polylogarithmic update time"):
  with members:
    - "fully dynamic maximal independent set in expected poly log update time"
    - "exponentially faster massively parallel maximal matching"
    - "simple dynamic algorithms for maximal independent set and other problems"
    - "fully dynamic mis in uniformly sparse graphs"
    - "fully dynamic maximal independent set with sublinear update time"
    - "improved algorithms for fully dynamic maximal independent set"
    - "correlation clustering in data streams"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"

Connected through hyperedge HE-8 (induced by source paper "permutation strikes back the power of recourse in online metric matching"):
  with members:
    - "stochastic online metric matching"
    - "optimal analysis of an online algorithm for the bipartite matching problem on a line"
    - "maintaining perfect matchings at low cost"
    - "fully dynamic bin packing with limited repacking"
    - "a match in time saves nine deterministic online matching with delays"
    - "a collection of lower bounds for online matching on the line"
    - "online matching haste makes waste"
    - "new algorithms better bounds and a novel model for online stochastic matching"

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)