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: "connectivity oracles for graphs subject to vertex failures"
  Abstract: We introduce new data structures for answering connectivity queries in graphs subject to batched vertex failures. Our deterministic structure processes a batch of $d\leq d_{\star}$ failed vertices in $\tilde{O}(d^3)$ time and thereafter answers connectivity queries in $O(d)$ time. It occupies space $O(d_{\star} m\log n)$. We develop a randomized Monte Carlo version of our data structure with update time $\tilde{O}(d^2)$, query time $O(d)$, and space $\tilde{O}(m)$ for any $d_{\star}$. This is the first connectivity oracle for general graphs that can efficiently deal with an unbounded number of vertex failures. #R##N#Our data structures are based on a new decomposition theorem for an undirected graph $G=(V,E)$, which is of independent interest. It states that for any terminal set $U\subseteq V$ we can remove a set $B$ of $|U|/(s-2)$ vertices such that the remaining graph contains a Steiner forest for $U-B$ with maximum degree $s$.

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"
    - "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 "sensitive distance and reachability oracles for large batch updates"):
  with members:
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "deterministic combinatorial replacement paths and distance sensitivity oracles"
    - "dynamic approximate shortest paths and beyond subquadratic and worst case update time"
    - "conditional hardness for sensitivity problems"
    - "fast deterministic computation of the hermite normal form and determinant of a polynomial matrix"
    - "incremental and fully dynamic subgraph connectivity for emergency planning"
    - "powers of tensors and fast matrix multiplication"
    - "popular conjectures imply strong lower bounds for dynamic problems"

Connected through hyperedge HE-3 (induced by source paper "a brief note on single source fault tolerant reachability"):
  with members:
    - "preserving distances in very faulty graphs"
    - "multiple source dual fault tolerant bfs trees"
    - "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-4 (induced by source paper "preserving distances in very faulty graphs"):
  with members:
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "linear size distance preservers"
    - "dual failure resilient bfs structure"
    - "better distance preservers and additive spanners"
    - "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"

Connected through hyperedge HE-5 (induced by source paper "optimal vertex fault tolerant spanners for fixed stretch"):
  with members:
    - "preserving distances in very faulty graphs"
    - "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:
    - "preserving distances in very faulty graphs"
    - "multiple source dual fault tolerant bfs trees"
    - "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 "threesomes degenerates and love triangles"):
  with members:
    - "near optimal linear decision trees for k sum and related problems"
    - "subquadratic algorithms for algebraic generalizations of 3sum"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "improved bounds for 3sum k sum and linear degeneracy"
    - "clustered integer 3sum via additive combinatorics"
    - "quadratic conditional lower bounds for string problems and dynamic time warping"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "dynamic set intersection"

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)