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: "multiple edge fault tolerant approximate shortest path trees"
  Abstract: Let $G$ be an $n$-node and $m$-edge positively real-weighted undirected graph. For any given integer $f \ge 1$, we study the problem of designing a sparse \emph{f-edge-fault-tolerant} ($f$-EFT) $\sigma${\em -approximate single-source shortest-path tree} ($\sigma$-ASPT), namely a subgraph of $G$ having as few edges as possible and which, following the failure of a set $F$ of at most $f$ edges in $G$, contains paths from a fixed source that are stretched at most by a factor of $\sigma$. To this respect, we provide an algorithm that efficiently computes an $f$-EFT $(2|F|+1)$-ASPT of size $O(f n)$. Our structure improves on a previous related construction designed for \emph{unweighted} graphs, having the same size but guaranteeing a larger stretch factor of $3(f+1)$, plus an additive term of $(f+1) \log n$. #R##N#Then, we show how to convert our structure into an efficient $f$-EFT \emph{single-source distance oracle} (SSDO), that can be built in $\widetilde{O}(f m)$ time, has size $O(fn \log^2 n)$, and is able to report, after the failure of the edge set $F$, in $O(|F|^2 \log^2 n)$ time a $(2|F|+1)$-approximate distance from the source to any node, and a corresponding approximate path in the same amount of time plus the path's size. Such an oracle is obtained by handling another fundamental problem, namely that of updating a \emph{minimum spanning forest} (MSF) of $G$ after that a \emph{batch} of $k$ simultaneous edge modifications (i.e., edge insertions, deletions and weight changes) is performed. For this problem, we build in $O(m \log^3 n)$ time a \emph{sensitivity} oracle of size $O(m \log^2 n)$, that reports in $O(k^2 \log^2 n)$ time the (at most $2k$) edges either exiting from or entering into the MSF. [...]

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"
    - "preserving distances in very faulty graphs"
    - "optimal vertex fault tolerant spanners for fixed stretch"
    - "connectivity oracles for graphs subject to vertex failures"
    - "fully dynamic all pairs shortest paths with worst case update time revisited"

Connected through hyperedge HE-2 (induced by source paper "generic single edge fault tolerant exact distance oracle"):
  with members:
    - "multiple source dual fault tolerant bfs trees"
    - "dynamic dfs in undirected graphs breaking the o m barrier"
    - "compact and fast sensitivity oracles for single source distances"
    - "dual failure resilient bfs structure"
    - "sparse fault tolerant bfs trees"
    - "faster replacement paths"
    - "approximate shortest paths avoiding a failed vertex optimal size data structures for unweighted graph"

Connected through hyperedge HE-3 (induced by source paper "optimal vertex fault tolerant spanners for fixed stretch"):
  with members:
    - "preserving distances in very faulty graphs"
    - "connectivity oracles for graphs subject to vertex failures"
    - "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-4 (induced by source paper "near optimal sized weight tolerant subgraph for single source shortest path"):
  with members:
    - "an efficient strongly connected components algorithm in the fault tolerant model"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "dual failure resilient bfs structure"
    - "the 4 3 additive spanner exponent is tight"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate shortest path trees"
    - "fault tolerant approximate bfs structures"
    - "vertex fault tolerant additive spanners"

Connected through hyperedge HE-5 (induced by source paper "multiple source dual fault tolerant bfs trees"):
  with members:
    - "dynamic dfs in undirected graphs breaking the o m barrier"
    - "dual failure resilient bfs structure"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate bfs structures"
    - "vertex fault tolerant additive spanners"
    - "sparse fault tolerant bfs trees"
    - "fault tolerant spanners better and simpler"

Connected through hyperedge HE-6 (induced by source paper "an efficient strongly connected components algorithm in the fault tolerant model"):
  with members:
    - "preserving distances in very faulty graphs"
    - "multiple source dual fault tolerant bfs trees"
    - "connectivity oracles for graphs subject to vertex failures"
    - "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 shortest path trees"):
  with members:
    - "compact and fast sensitivity oracles for single source distances"
    - "dual failure resilient bfs structure"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate bfs structures"
    - "vertex fault tolerant additive spanners"
    - "sparse fault tolerant bfs trees"
    - "approximate distance oracle with constant query time"
    - "on pairwise spanners"

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)