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: "dynamic set cover improved algorithms lower bounds"
  Abstract: Set cover is a classic problem in combinatorial optimization where a set of $n$ elements have to be covered by a minimum number of subsets from a given collection of size $m$. The two traditional lines of inquiry for this problem are via greedy and primal dual algorithms, and respectively yield (tight) approximation factors of $\ln n$, where $n$ is the total number of elements, and $f$, where every element belongs to at most $f$ sets. Recent research has focused on the dynamic setting, where the set of elements changes over time. Using the same lines of inquiry, this has led to the following results: (a) an $O(\log n)$-approximation in $O(f \log n)$ (amortized) update time (Gupta {\em et al.}, STOC 2017), and (b) an $O(f^2)$-approximation in $O(f \log (m+n))$ (amortized) update time (Bhattacharya {\em et al.}, ICALP 2015). While the former result matches the offline approximation within a constant factor, the latter does not; indeed, the only $O(f)$-approximation known in the dynamic setting is by re-solving the problem after every update. #R##N#In this paper, we show that it is possible to maintain efficiently a solution (almost) as good as the primal-dual offline one: we give a $(1+\epsilon) f$-approximation for set cover in $O(f^2\log n/\epsilon)$ (amortized) update time. If we are in a decremental setting, i.e., there are element deletions but no insertions, the update time can be improved to $O(f^2/\epsilon)$, while still obtaining an $(1+\epsilon) f$-approximation. Finally, we study the dependence of the update time on $f$. Using the recent distributed PCP-framework, we show that any dynamic algorithm for set cover that has an amortized update time of $O(f^{1-\epsilon})$ must have an approximation factor that is $\Omega(n^\delta)$ for some $\delta>0$ under the Strong Exponential Time Hypothesis.

Connected through hyperedge HE-1 (induced by source paper "dominating sets and connected dominating sets in dynamic graphs"):
  with members:
    - "simple dynamic algorithms for maximal independent set and other problems"
    - "fully dynamic maximal independent set with sublinear update time"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"
    - "fully dynamic maximal matching in constant update time"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "simple deterministic algorithms for fully dynamic maximal 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)