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 "bypassing erd h o s girth conjecture hybrid stretch and sourcewise spanners"):
  Abstract: An $(\alpha,\beta)$-spanner of an $n$-vertex graph $G=(V,E)$ is a subgraph $H$ of $G$ satisfying that $dist(u, v, H) \leq \alpha \cdot dist(u, v, G)+\beta$ for every pair $(u, v)\in V \times V$, where $dist(u,v,G')$ denotes the distance between $u$ and $v$ in $G' \subseteq G$. It is known that for every integer $k \geq 1$, every graph $G$ has a polynomially constructible $(2k-1,0)$-spanner of size $O(n^{1+1/k})$. This size-stretch bound is essentially optimal by the girth conjecture. It is therefore intriguing to ask if one can "bypass" the conjecture by settling for a multiplicative stretch of $2k-1$ only for \emph{neighboring} vertex pairs, while maintaining a strictly \emph{better} multiplicative stretch for the rest of the pairs. We answer this question in the affirmative and introduce the notion of \emph{$k$-hybrid spanners}, in which non neighboring vertex pairs enjoy a \emph{multiplicative} $k$-stretch and the neighboring vertex pairs enjoy a \emph{multiplicative} $(2k-1)$ stretch (hence, tight by the conjecture). We show that for every unweighted $n$-vertex graph $G$ with $m$ edges, there is a (polynomially constructible) $k$-hybrid spanner with $O(k^2 \cdot n^{1+1/k})$ edges. \indent An alternative natural approach to bypass the girth conjecture is to allow ourself to take care only of a subset of pairs $S \times V$ for a given subset of vertices $S \subseteq V$ referred to here as \emph{sources}. Spanners in which the distances in $S \times V$ are bounded are referred to as \emph{sourcewise spanners}. Several constructions for this variant are provided (e.g., multiplicative sourcewise spanners, additive sourcewise spanners and more).

Includes members:
  Member "on pairwise spanners":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "weighted additive spanners")
  Member "faster approximate distance queries and compact routing in sparse graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the hardness of set disjointness and set intersection with bounded universe")
  Member "ramsey partitions and proximity data structures":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "labelings vs embeddings on distributed representations of distances")
  Member "lower stretch spanning trees":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "2 node connectivity network design")

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)