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: "preserving distances in very faulty graphs"
  Abstract: Preservers and additive spanners are sparse (hence cheap to store) subgraphs that preserve the distances between given pairs of nodes exactly or with some small additive error, respectively. Since real-world networks are prone to failures, it makes sense to study fault-tolerant versions of the above structures. This turns out to be a surprisingly difficult task. For every small but arbitrary set of edge or vertex failures, the preservers and spanners need to contain {\em replacement paths} around the faulted set. In this paper we make substantial progress on fault tolerant preservers and additive spanners: #R##N#(1) We present the first truly sub-quadratic size single-pair preservers in unweighted (possibly directed) graphs for \emph{any} fixed number $f$ of faults. Our result indeed generalizes to the single-source case, and can be used to build new fault-tolerant additive spanners (for all pairs). #R##N#(2) The size of the above single-pair preservers is $O(n^{2-g(f)})$ for some positive function $g$, and grows to $O(n^2)$ for increasing $f$. We show that this is necessary even in undirected unweighted graphs, and even if you allow for a small additive error: If you aim at size $O(n^{2-\epsilon})$ for $\epsilon>0$, then the additive error has to be $\Omega(\eps f)$. This surprisingly matches known upper bounds in the literature. #R##N#(3) For weighted graphs, we provide matching upper and lower bounds for the single pair case. Namely, the size of the preserver is $\Theta(n^2)$ for $f\geq 2$ in both directed and undirected graphs, while for $f=1$ the size is $\Theta(n)$ in undirected graphs. For directed graphs, we have a superlinear upper bound and a matching lower bound. #R##N#Most of our lower bounds extend to the distance oracle setting, where rather than a subgraph we ask for any compact data structure.

Connected through hyperedge HE-1 (induced by source paper "approximate distance oracles subject to multiple vertex failures"):
  with members:
    - "sensitive distance and reachability oracles for large batch updates"
    - "generic single edge fault tolerant exact distance oracle"
    - "a trivial yet optimal solution to vertex fault tolerant spanners"
    - "exact distance oracles for planar graphs with failing vertices"
    - "optimal vertex fault tolerant spanners for fixed stretch"
    - "connectivity oracles for graphs subject to vertex failures"
    - "multiple edge fault tolerant approximate shortest path trees"
    - "fully dynamic all pairs shortest paths with worst case update time revisited"

Connected through hyperedge HE-2 (induced by source paper "a brief note on single source fault tolerant reachability"):
  with members:
    - "multiple source dual fault tolerant bfs trees"
    - "connectivity oracles for graphs subject to vertex failures"
    - "an efficient strongly connected components algorithm in the fault tolerant model"
    - "dynamic graph connectivity with improved worst case update time and sublinear space"
    - "fixed parameter tractability of directed multiway cut parameterized by the size of the cutset"
    - "fixed parameter tractability of multicut parameterized by the size of the cutset"
    - "almost 2 sat is fixed parameter tractable"

Connected through hyperedge HE-3 (induced by source paper "towards a unified theory of sparsification for matching problems"):
  with members:
    - "stochastic matching with few queries new algorithms and tools"
    - "coresets meet edcs algorithms for matching and vertex cover on massive graphs"
    - "the stochastic matching problem beating half with a non adaptive algorithm"
    - "on estimating maximum matching size in graph streams"
    - "almost optimal stochastic weighted matching with few queries"
    - "stochastic packing integer programs with few queries"
    - "ignorance is almost bliss near optimal stochastic matching with few queries"
    - "fully dynamic matching in bipartite graphs"

Connected through hyperedge HE-4 (induced by source paper "a trivial yet optimal solution to vertex fault tolerant spanners"):
  with members:
    - "optimal vertex fault tolerant spanners for fixed stretch"
    - "the greedy spanner is existentially optimal"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "compact and fast sensitivity oracles for single source distances"
    - "dual failure resilient bfs structure"
    - "the 4 3 additive spanner exponent is tight"
    - "fault tolerant approximate bfs structures"
    - "sparse fault tolerant bfs trees"

Connected through hyperedge HE-5 (induced by source paper "optimal vertex fault tolerant spanners for fixed stretch"):
  with members:
    - "connectivity oracles for graphs subject to vertex failures"
    - "multiple edge fault tolerant approximate shortest path trees"
    - "improved distance sensitivity oracles via tree partitioning"
    - "compact and fast sensitivity oracles for single source distances"
    - "dual failure resilient bfs structure"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate shortest path trees"
    - "fault tolerant approximate bfs structures"

Connected through hyperedge HE-6 (induced by source paper "an efficient strongly connected components algorithm in the fault tolerant model"):
  with members:
    - "multiple source dual fault tolerant bfs trees"
    - "connectivity oracles for graphs subject to vertex failures"
    - "multiple edge fault tolerant approximate shortest path trees"
    - "compact and fast sensitivity oracles for single source distances"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "dual failure resilient bfs structure"
    - "improved algorithms for decremental single source reachability on directed graphs"
    - "improved purely additive fault tolerant spanners"

Connected through hyperedge HE-7 (induced by source paper "fault tolerant approximate bfs structures"):
  with members:
    - "the 4 3 additive spanner exponent is tight"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate shortest path trees"
    - "vertex fault tolerant additive spanners"
    - "sparse fault tolerant bfs trees"
    - "on pairwise spanners"
    - "fault tolerant spanners better and simpler"
    - "min st cut oracle for planar graphs with near linear preprocessing 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)