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 "a hierarchy of lower bounds for sublinear additive spanners"):
  Abstract: Spanners, emulators, and approximate distance oracles can be viewed as lossy compression schemes that represent an unweighted graph metric in small space, say $\tilde{O}(n^{1+\delta})$ bits. There is an inherent tradeoff between the sparsity parameter $\delta$ and the stretch function $f$ of the compression scheme, but the qualitative nature of this tradeoff has remained a persistent open problem. #R##N#In this paper we show that the recent additive spanner lower bound of Abboud and Bodwin is just the first step in a hierarchy of lower bounds that fully characterize the asymptotic behavior of the optimal stretch function $f$ as a function of $\delta \in (0,1/3)$. Specifically, for any integer $k\ge 2$, any compression scheme with size $O(n^{1+\frac{1}{2^k-1} - \epsilon})$ has a sublinear additive stretch function $f$: $$f(d) = d + \Omega(d^{1-\frac{1}{k}}).$$ This lower bound matches Thorup and Zwick's (2006) construction of sublinear additive emulators. It also shows that Elkin and Peleg's $(1+\epsilon,\beta)$-spanners have an essentially optimal tradeoff between $\delta,\epsilon,$ and $\beta$, and that the sublinear additive spanners of Pettie (2009) and Chechik (2013) are not too far from optimal. #R##N#To complement these lower bounds we present a new construction of $(1+\epsilon, O(k/\epsilon)^{k-1})$-spanners with size $O((k/\epsilon)^{h_k} kn^{1+\frac{1}{2^{k+1}-1}})$, where $h_k < 3/4$. This size bound improves on the spanners of Elkin and Peleg (2004), Thorup and Zwick (2006), and Pettie (2009). According to our lower bounds neither the size nor stretch function can be substantially improved.

Includes members:
  Member "hopsets with constant hopbound and applications to approximate shortest paths":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "a linear size logarithmic stretch path reporting distance oracle for general graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on strong diameter padded decompositions")
  Member "very sparse additive spanners and emulators":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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-4 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "the 4 3 additive spanner exponent is tight":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "weighted additive spanners")
  Member "additive spanners a simple construction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (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-7 (induced by source paper "efficient enumeration of subgraphs and induced subgraphs with bounded girth")
  Member "on pairwise spanners":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "weighted additive spanners")

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)