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: "deterministic combinatorial replacement paths and distance sensitivity oracles"
  Abstract: In this work we derandomize two central results in graph algorithms, replacement paths and distance sensitivity oracles (DSOs) matching in both cases the running time of the randomized algorithms. #R##N#For the replacement paths problem, let G = (V,E) be a directed unweighted graph with n vertices and m edges and let P be a shortest path from s to t in G. The {\sl replacement paths} problem is to find for every edge e \in P the shortest path from s to t avoiding e. Roditty and Zwick [ICALP 2005] obtained a randomized algorithm with running time of ~O(m \sqrt{n}). Here we provide the first deterministic algorithm for this problem, with the same ~O(m \sqrt{n}) time. #R##N#For the problem of distance sensitivity oracles, let G = (V,E) be a directed graph with real-edge weights. An f-Sensitivity Distance Oracle (f-DSO) gets as input the graph G=(V,E) and a parameter f, preprocesses it into a data-structure, such that given a query (s,t,F) with s,t \in V and F \subseteq E \cup V, |F| \le f being a set of at most f edges or vertices (failures), the query algorithm efficiently computes the distance from s to t in the graph G \setminus F ({\sl i.e.}, the distance from s to t in the graph G after removing from it the failing edges and vertices F). For weighted graphs with real edge weights, Weimann and Yuster [FOCS 2010] presented a combinatorial randomized f-DSO with ~O(mn^{4-\alpha}) preprocessing time and subquadratic ~O(n^{2-2(1-\alpha)/f}) query time for every value of 0 < \alpha < 1. We derandomize this result and present a combinatorial deterministic f-DSO with the same asymptotic preprocessing and query time.

Connected through hyperedge HE-1 (induced by source paper "small cuts and connectivity certificates a fault tolerant approach"):
  with members:
    - "distributed edge connectivity in sublinear time"
    - "polylogarithmic time deterministic network decomposition and distributed derandomization"
    - "low congestion cycle covers and their applications"
    - "distributed approximation of minimum k edge connected spanning subgraphs"
    - "fast distributed approximation for tap and 2 edge connectivity"
    - "almost tight distributed minimum cut algorithms"
    - "distributed minimum cut approximation"
    - "fault tolerant spanners better and simpler"

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"
    - "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"
    - "connectivity oracles for graphs subject to vertex failures"
    - "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"

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)