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 "reachability preservers new extremal bounds and approximation algorithms"):
  Abstract: In this paper we prove new results about the extremal structure of paths in directed graphs. Say we are given a directed graph $G = (V, E)$ on $n$ nodes, a set of sources $S \subseteq V$ of size $|S|=n^{1/3}$, and a subset $P \subseteq S \times V$ of pairs $(s,t)$ where $s \in S$, of size $O(n^{2/3})$, such that for all pairs $(s,t) \in P$, there is a path from $s$ to $t$. Our goal is to remove as many edges from $G$ as possible while maintaining the reachability of all pairs in $P$. How many edges will we have to keep? Can you always go down to $n^{1+o(1)}$ edges? Or maybe for some nasty graphs $G$ you cannot even go below the simple bound of $O(n^{4/3})$ edges? #R##N#In this paper, we make polynomial progress in both the upper and lower bounds for these Reachability Preservers over bounds that were implicit in the literature. We show that in the above scenario, $O(n)$ edges will always be sufficient, and in general one is even guaranteed a subgraph on $O(n+\sqrt{n \cdot |P|\cdot |S|})$ edges that preserves the reachability of all pairs in $P$. We complement this with a lower bound graph construction, establishing that the above result fully characterizes the settings in which we are guaranteed a preserver of size $O(n)$. Moreover, we design an efficient algorithm that can always compute a preserver of existentially optimal size. #R##N#The second contribution of this paper is a new connection between extremal graph sparsification results and classical Steiner Network Design problems. Surprisingly, prior to this work, the osmosis of techniques between these two fields had been superficial. This allows us to improve the state of the art approximation algorithms for the most basic Steiner-type problem in directed graphs from the $O(n^{0.6+\varepsilon})$ of Chlamatac, Dinitz, Kortsarz, and Laekhanukit (SODA'17) to $O(n^{0.577+\varepsilon})$.

Includes members:
  Member "steiner point removal with distortion o log k":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "scattering and sparse partitions and their applications")
  Member "steiner point removal distant terminals don t really bother":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "scattering and sparse partitions and their applications")
  Member "a hierarchy of lower bounds for sublinear additive spanners":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "exponentially faster shortest paths in the congested clique")
  Member "linear size distance preservers":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "weighted additive spanners")
  Member "graph minors for preserving terminal distances approximately lower and upper bounds":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "scattering and sparse partitions and their applications")
  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 "the 4 3 additive spanner exponent is tight":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "weighted additive spanners")
  Member "bypassing erd h o s girth conjecture hybrid stretch and sourcewise spanners":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "efficient enumeration of subgraphs and induced subgraphs with bounded girth")

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)