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: "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.

Connected through hyperedge HE-1 (induced by source paper "exponentially faster shortest paths in the congested clique"):
  with members:
    - "near additive spanners and near exact hopsets a unified view"
    - "near additive spanners in low polynomial deterministic congest time"
    - "fast approximate shortest paths in the congested clique"
    - "congested clique algorithms for graph spanners"
    - "sparse matrix multiplication and triangle listing in the congested clique model"
    - "linear size hopsets with small hopbound and distributed routing with low memory"
    - "thorup zwick emulators are universally optimal hopsets"
    - "towards a complexity theory for the congested clique"

Connected through hyperedge HE-2 (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"
    - "linear size distance preservers"
    - "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-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 "fast approximate shortest paths in the congested clique"):
  with members:
    - "delta 1 coloring in the congested clique model"
    - "congested clique algorithms for graph spanners"
    - "sparse matrix multiplication and triangle listing in the congested clique model"
    - "towards tight approximation bounds for graph diameter and eccentricities"
    - "a deterministic distributed algorithm for exact weighted all pairs shortest paths in tilde o n 3 2 rounds"
    - "distributed triangle detection via expander decomposition"
    - "distributed exact weighted all pairs shortest paths in near linear time"
    - "mst in o 1 rounds of the congested clique"

Connected through hyperedge HE-5 (induced by source paper "parallel approximate undirected shortest paths via low hop emulators"):
  with members:
    - "preconditioning for the geometric transportation problem"
    - "fast approximate shortest paths in the congested clique"
    - "brief announcement semi mapreduce meets congested clique"
    - "thorup zwick emulators are universally optimal hopsets"
    - "parallel shortest paths using radius stepping"
    - "near optimal approximate shortest paths and transshipment in distributed and streaming models"
    - "hopsets with constant hopbound and applications to approximate shortest paths"
    - "an almost tight distributed algorithm for computing single source shortest paths"

Connected through hyperedge HE-6 (induced by source paper "low diameter graph decompositions by approximate distance computation"):
  with members:
    - "dynamic low stretch trees via dynamic low diameter decompositions"
    - "a faster distributed single source shortest paths algorithm"
    - "hopsets with constant hopbound and applications to approximate shortest paths"
    - "on the complexity of local distributed graph problems"
    - "parallel metric tree embedding based on an algebraic view on moore bellman ford"
    - "near optimal distributed maximum flow"
    - "simple parallel and distributed algorithms for spectral graph sparsification"
    - "parallel graph decompositions using random shifts"

Connected through hyperedge HE-7 (induced by source paper "new alpha beta spanners and hopsets"):
  with members:
    - "almost shortest paths and pram distance oracles in weighted graphs"
    - "linear size hopsets with small hopbound and distributed routing with low memory"
    - "thorup zwick emulators are universally optimal hopsets"
    - "distributed exact shortest paths in sublinear time"
    - "efficient algorithms for constructing very sparse spanners and emulators"
    - "hopsets with constant hopbound and applications to approximate shortest paths"
    - "on efficient distributed construction of near optimal routing schemes"
    - "parallel metric tree embedding based on an algebraic view on moore bellman ford"

Connected through hyperedge HE-8 (induced by source paper "almost shortest paths and pram distance oracles in weighted graphs"):
  with members:
    - "thorup zwick emulators are universally optimal hopsets"
    - "efficient algorithms for constructing very sparse spanners and emulators"
    - "hopsets with constant hopbound and applications to approximate shortest paths"
    - "a linear size logarithmic stretch path reporting distance oracle for general graphs"
    - "parallel metric tree embedding based on an algebraic view on moore bellman ford"
    - "the 4 3 additive spanner exponent is tight"
    - "a deterministic almost tight distributed algorithm for approximating single source shortest paths"
    - "decremental single source shortest paths on undirected graphs in near linear total update time"

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)