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: "faster replacement paths"
  Abstract: The replacement paths problem for directed graphs is to find for given nodes s and t and every edge e on the shortest path between them, the shortest path between s and t which avoids e. For unweighted directed graphs on n vertices, the best known algorithm runtime was \tilde{O}(n^{2.5}) by Roditty and Zwick. For graphs with integer weights in {-M,...,M}, Weimann and Yuster recently showed that one can use fast matrix multiplication and solve the problem in O(Mn^{2.584}) time, a runtime which would be O(Mn^{2.33}) if the exponent \omega of matrix multiplication is 2. #R##N#We improve both of these algorithms. Our new algorithm also relies on fast matrix multiplication and runs in O(M n^{\omega} polylog(n)) time if \omega>2 and O(n^{2+\eps}) for any \eps>0 if \omega=2. Our result shows that, at least for small integer weights, the replacement paths problem in directed graphs may be easier than the related all pairs shortest paths problem in directed graphs, as the current best runtime for the latter is \Omega(n^{2.5}) time even if \omega=2.

Connected through hyperedge HE-1 (induced by source paper "dynamic approximate shortest paths and beyond subquadratic and worst case update time"):
  with members:
    - "fully dynamic all pairs shortest paths improved worst case time and space bounds"
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "sensitive distance and reachability oracles for large batch updates"
    - "towards tight approximation bounds for graph diameter and eccentricities"
    - "algorithms and hardness for diameter in dynamic graphs"
    - "diameter spanner eccentricity spanner and approximating extremal graph distances static dynamic and fault tolerant"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "deterministic partially dynamic single source shortest paths in weighted graphs"

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"
    - "multiple edge fault tolerant approximate shortest path 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"
    - "approximate shortest paths avoiding a failed vertex optimal size data structures for unweighted graph"

Connected through hyperedge HE-3 (induced by source paper "preserving distances in very faulty graphs"):
  with members:
    - "connectivity oracles for graphs subject to vertex failures"
    - "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"

Connected through hyperedge HE-4 (induced by source paper "near optimal sized weight tolerant subgraph for single source shortest path"):
  with members:
    - "multiple edge fault tolerant approximate shortest path trees"
    - "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"

Connected through hyperedge HE-5 (induced by source paper "algebraic problems equivalent to beating exponent 3 2 for polynomial factorization over finite fields"):
  with members:
    - "polynomial factorization over finite fields by computing euler poincare characteristics of drinfeld modules"
    - "popular conjectures imply strong lower bounds for dynamic problems"

Connected through hyperedge HE-6 (induced by source paper "replacement paths via row minima of concise matrices"):
  with members:
    - "shortest paths in planar graphs with real lengths in o n log 2n log log n 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)