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: "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 $s \le n^{2/3 - o(1)}$.

Connected through hyperedge HE-1 (induced by source paper "weighted additive spanners"):
  with members:
    - "some general structure for extremal sparsification problems"
    - "almost shortest paths and pram distance oracles in weighted graphs"
    - "lower bounds on sparse spanners emulators and diameter reducing shortcuts"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "better distance preservers and additive spanners"
    - "the 4 3 additive spanner exponent is tight"
    - "additive spanners a simple construction"
    - "on pairwise spanners"

Connected through hyperedge HE-2 (induced by source paper "some general structure for extremal sparsification problems"):
  with members:
    - "improved guarantees for vertex sparsification in planar graphs"
    - "reachability preservers new extremal bounds and approximation algorithms"
    - "additive spanners a simple construction"
    - "on pairwise spanners"

Connected through hyperedge HE-3 (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-4 (induced by source paper "hardness of exact distance queries in sparse graphs through hub labeling"):
  with members:
    - "near optimal compression for the planar graph metric"
    - "a note on distance labeling in planar graphs"
    - "optimal distance labeling schemes for trees"
    - "simpler faster and shorter labels for distances in graphs"
    - "sublinear space distance labeling using hubs"
    - "maximum matching in turnstile streams"
    - "sublinear distance labeling"
    - "distance labeling schemes for trees"

Connected through hyperedge HE-5 (induced by source paper "approximation algorithms and an integer program for multi level graph spanners"):
  with members:
    - "multi level steiner trees"
    - "on pairwise spanners"
    - "directed spanners via flow based linear programs"
    - "transitive closure spanners"

Connected through hyperedge HE-6 (induced by source paper "a ptas for subset tsp in minor free graphs"):
  with members:
    - "truly optimal euclidean spanners"
    - "greedy spanners are optimal in doubling metrics"
    - "on subexponential parameterized algorithms for steiner tree and directed subset tsp on planar graphs"
    - "minor free graphs have light spanners"
    - "the greedy spanner is existentially optimal"
    - "graph minors for preserving terminal distances approximately lower and upper bounds"
    - "a light metric spanner"
    - "better distance preservers and additive spanners"

Connected through hyperedge HE-7 (induced by source paper "near optimal distance emulator for planar graphs"):
  with members:
    - "near optimal compression for the planar graph metric"
    - "subquadratic algorithms for the diameter and the sum of pairwise distances in planar graphs"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "graph minors for preserving terminal distances approximately lower and upper bounds"
    - "a linear size logarithmic stretch path reporting distance oracle for general graphs"
    - "sublinear space distance labeling using hubs"
    - "submatrix maximum queries in monge matrices are equivalent to predecessor search"
    - "the 4 3 additive spanner exponent is tight"

Connected through hyperedge HE-8 (induced by source paper "lower bounds on sparse spanners emulators and diameter reducing shortcuts"):
  with members:
    - "thorup zwick emulators are universally optimal hopsets"
    - "nearly work efficient parallel algorithm for digraph reachability"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "very sparse additive spanners and emulators"
    - "better distance preservers and additive spanners"
    - "the 4 3 additive spanner exponent is tight"
    - "additive spanners a simple construction"

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)