human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "linear size distance preservers"):
  Abstract: A distance preserver of $p$ node pairs in an $n$-node graph $G$ is a subgraph that agrees with $G$ on all $p$ of these distances. Trivial lower bounds show that the worst-case size of distance preservers is at least linear in $n$ and $p$; that is, $\Omega(n + p)$ edges are sometimes needed in the subgraph. In this work, we try to categorize in what situations this is tight, i.e. a distance preserver on $O(n+p)$ edges is guaranteed to exist. We give three fairly simple arguments that make new progress on this basic question: #R##N#1. Any $p = O(n^{1/3})$ node pairs have a distance preserver on $O(n)$ edges (even if $G$ is directed and weighted). #R##N#2. Any $p = \Omega\left(\frac{n^2}{rs(n)}\right)$ node pairs have a distance preserver on $O(p)$ edges when $G$ is undirected and unweighted. Here, $rs(n)$ is the Ruzsa-Szemeredi function from combinatorial graph theory. #R##N#3. We sometimes need $\omega(s^2)$ edges to preserve all pairwise distances within a subset of $s = o(n^{2/3})$ nodes, even if $G$ is undirected. If we additionally require that $G$ is unweighted, then the range falls slightly to $s \le n^{2/3 - o(1)}$.

Includes members:
  Member "thorup zwick emulators are universally optimal hopsets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "deterministic algorithms for decremental approximate shortest paths faster and simpler")
  Member "distance preserving subgraphs of interval graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "graph spanners a tutorial review")
  Member "multiple source dual fault tolerant bfs trees":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "graph spanners a tutorial review")
  Member "a hierarchy of lower bounds for sublinear additive spanners":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "exponentially faster shortest paths in the congested clique")
  Member "a linear size logarithmic stretch path reporting distance oracle for general graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on strong diameter padded decompositions")
  Member "dual failure resilient bfs structure":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "approximate distance oracles subject to multiple vertex failures")
  Member "very sparse additive spanners and emulators":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "lower bounds on sparse spanners emulators and diameter reducing shortcuts")
  Member "better distance preservers and additive spanners":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")

Question: Please tell me which class the source paper 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)