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: "dual failure resilient bfs structure"
  Abstract: We study {\em breadth-first search (BFS)} spanning trees, and address the problem of designing a sparse {\em fault-tolerant} BFS structure, or {\em FT-BFS } for short, resilient to the failure of up to two edges in the given undirected unweighted graph $G$, i.e., a sparse subgraph $H$ of $G$ such that subsequent to the failure of up to two edges, the surviving part $H'$ of $H$ still contains a BFS spanning tree for (the surviving part of) $G$. FT-BFS structures, as well as the related notion of replacement paths, have been studied so far for the restricted case of a single failure. It has been noted widely that when concerning shortest-paths in a variety of contexts, there is a sharp qualitative difference between a single failure and two or more failures. #R##N#Our main results are as follows. We present an algorithm that for every $n$-vertex unweighted undirected graph $G$ and source node $s$ constructs a (two edge failure) FT-BFS structure rooted at $s$ with $O(n^{5/3})$ edges. To provide a useful theory of shortest paths avoiding 2 edges failures, we take a principled approach to classifying the arrangement these paths. We believe that the structural analysis provided in this paper may decrease the barrier for understanding the general case of $f\geq 2$ faults and pave the way to the future design of $f$-fault resilient structures for $f \geq 2$. We also provide a matching lower bound, which in fact holds for the general case of $f \geq 1$ and multiple sources $S \subseteq V$. It shows that for every $f\geq 1$, and integer $1 \leq \sigma \leq n$, there exist $n$-vertex graphs with a source set $S \subseteq V$ of cardinality $\sigma$ for which any FT-BFS structure rooted at each $s \in S$, resilient to up to $f$-edge faults has $\Omega(\sigma^{1/(f+1)} \cdot n^{2-1/(f+1)})$ edges.

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"
    - "multiple edge fault tolerant approximate shortest path trees"

Connected through hyperedge HE-2 (induced by source paper "graph spanners a tutorial review"):
  with members:
    - "near additive spanners and near exact hopsets a unified view"
    - "some general structure for extremal sparsification problems"
    - "weighted additive spanners"
    - "near additive spanners in low polynomial deterministic congest time"
    - "multi level graph sketches via single level solvers"
    - "almost shortest paths and pram distance oracles in weighted graphs"
    - "an fpt algorithm for minimum additive spanner problem"
    - "distributed construction of light networks"

Connected through hyperedge HE-3 (induced by source paper "a trivial yet optimal solution to vertex fault tolerant spanners"):
  with members:
    - "preserving distances in very faulty graphs"
    - "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"
    - "the 4 3 additive spanner exponent is tight"
    - "fault tolerant approximate bfs structures"
    - "sparse fault tolerant bfs trees"

Connected through hyperedge HE-4 (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"
    - "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-5 (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"
    - "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-6 (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"
    - "multiple edge fault tolerant approximate shortest path trees"
    - "improved distance sensitivity oracles via tree partitioning"
    - "compact and fast sensitivity oracles for single source distances"
    - "improved purely additive fault tolerant spanners"
    - "fault tolerant approximate shortest path trees"
    - "fault tolerant approximate bfs structures"

Connected through hyperedge HE-7 (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"
    - "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-8 (induced by source paper "reachability preservers new extremal bounds and approximation algorithms"):
  with members:
    - "steiner point removal with distortion o log k"
    - "steiner point removal distant terminals don t really bother"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "linear size distance preservers"
    - "graph minors for preserving terminal distances approximately lower and upper bounds"
    - "the 4 3 additive spanner exponent is tight"
    - "bypassing erd h o s girth conjecture hybrid stretch and sourcewise spanners"
    - "sparse fault tolerant bfs trees"

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)