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: "an o k 3 log n approximation algorithm for vertex connectivity survivable network design"
  Abstract: In the Survivable Network Design problem (SNDP), we are given an undirected graph $G(V,E)$ with costs on edges, along with a connectivity requirement $r(u,v)$ for each pair $u,v$ of vertices. The goal is to find a minimum-cost subset $E^*$ of edges, that satisfies the given set of pairwise connectivity requirements. In the edge-connectivity version we need to ensure that there are $r(u,v)$ edge-disjoint paths for every pair $u, v$ of vertices, while in the vertex-connectivity version the paths are required to be vertex-disjoint. The edge-connectivity version of SNDP is known to have a 2-approximation. However, no non-trivial approximation algorithm has been known so far for the vertex version of SNDP, except for special cases of the problem. We present an extremely simple algorithm to achieve an $O(k^3 \log n)$-approximation for this problem, where $k$ denotes the maximum connectivity requirement, and $n$ denotes the number of vertices. We also give a simple proof of the recently discovered $O(k^2 \log n)$-approximation result for the single-source version of vertex-connectivity SNDP. We note that in both cases, our analysis in fact yields slightly better guarantees in that the $\log n$ term in the approximation guarantee can be replaced with a $\log \tau$ term where $\tau$ denotes the number of distinct vertices that participate in one or more pairs with a positive connectivity requirement.

Connected through hyperedge HE-1 (induced by source paper "polylogarithmic approximation algorithm for k connected directed steiner tree on quasi bipartite graphs"):
  with members:
    - "a quasi polynomial algorithm for submodular tree orienteering in directed graphs"
    - "a logarithmic integrality gap bound for directed steiner tree in quasi bipartite graphs"
    - "approximating directed steiner problems via tree embedding"
    - "analytical approach to parallel repetition"
    - "parameters of two prover one round game and the hardness of connectivity problems"
    - "an improved approximation algorithm for the minimum cost subset k connected subgraph problem"
    - "approximating subset k connectivity problems"
    - "directed steiner tree and the lasserre hierarchy"

Connected through hyperedge HE-2 (induced by source paper "node weighted network design in planar and minor closed families of graphs"):
  with members:
    - "improved approximation algorithms for budgeted node weighted steiner problems"
    - "spider covers for prize collecting network activation problem"
    - "an improved approximation algorithm for the minimum cost subset k connected subgraph problem"
    - "approximation schemes for steiner forest on planar graphs and graphs of bounded treewidth"

Connected through hyperedge HE-3 (induced by source paper "survivable network design for group connectivity in low treewidth graphs"):
  with members:
    - "a polynomial time approximation scheme for euclidean steiner forest"
    - "sparsest cut on bounded treewidth graphs algorithms and hardness results"
    - "parameters of two prover one round game and the hardness of connectivity problems"
    - "an improved approximation algorithm for the minimum cost subset k connected subgraph problem"
    - "solving connectivity problems parameterized by treewidth in single exponential time"
    - "polynomial time approximation schemes for subset connectivity problems in bounded genus graphs"
    - "approximation schemes for steiner forest on planar graphs and graphs of bounded treewidth"

Connected through hyperedge HE-4 (induced by source paper "a note on degree vs gap of min rep label cover and improved inapproximability for connectivity problems"):
  with members:
    - "eth hardness of approximating 2 csps and directed steiner network"
    - "approximation of non boolean 2csp"
    - "parameters of two prover one round game and the hardness of connectivity problems"
    - "approximation algorithms and hardness of the k route cut problem"

Connected through hyperedge HE-5 (induced by source paper "cluster before you hallucinate approximating node capacitated network design and energy efficient routing"):
  with members:
    - "an lmp o log n approximation algorithm for node weighted prize collecting steiner tree"
    - "online primal dual for non linear optimization with applications to speed scaling"
    - "approximability of capacitated network design"
    - "spectral sparsification of graphs"

Connected through hyperedge HE-6 (induced by source paper "spider covers for prize collecting network activation problem"):
  with members:
    - "covering problems in edge and node weighted graphs"
    - "improved approximation algorithms for budgeted node weighted steiner problems"
    - "an lmp o log n approximation algorithm for node weighted prize collecting steiner tree"
    - "approximating subset k connectivity problems"

Connected through hyperedge HE-7 (induced by source paper "iterative rounding approximation algorithms for degree bounded node connectivity network design"):
  with members:
    - "approximating minimum cost edge covers of crossing biset families"
    - "approximating minimum cost k node connected subgraphs via independence free graphs"
    - "approximating subset k connectivity problems"
    - "on generalizations of network design problems with degree bounds"
    - "improved algorithm for degree bounded survivable network design problem"

Connected through hyperedge HE-8 (induced by source paper "parameters of two prover one round game and the hardness of connectivity problems"):
  with members:
    - "label cover instances with large girth and the hardness of approximating basic k spanner"
    - "an improved approximation algorithm for the minimum cost subset k connected subgraph problem"
    - "approximation algorithms and hardness of the k route cut problem"
    - "a graph reduction step preserving element connectivity and applications"

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)