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 "parameters of two prover one round game and the hardness of connectivity problems"):
  Abstract: Optimizing parameters of Two-Prover-One-Round Game (2P1R) is an important task in PCPs literature as it would imply a smaller PCP with the same or stronger soundness. While this is a basic question in PCPs community, the connection between the parameters of PCPs and hardness of approximations is sometime obscure to approximation algorithm community. In this paper, we investigate the connection between the parameters of 2P1R and the hardness of approximating the class of so-called connectivity problems, which includes as subclasses the survivable network design and (multi)cut problems. Based on recent development on 2P1R by Chan (ECCC 2011) and several techniques in PCPs literature, we improve hardness results of some connectivity problems that are in the form $k^\sigma$, for some (very) small constant $\sigma>0$, to hardness results of the form $k^c$ for some explicit constant $c$, where $k$ is a connectivity parameter. In addition, we show how to convert these hardness into hardness results of the form $D^{c'}$, where $D$ is the number of demand pairs (or the number of terminals). #R##N#Thus, we give improved hardness results of k^{1/2-\epsilon} and k^{1/10-\epsilon} for the root $k$-connectivity problem on directed and undirected graphs, k^{1/6-\epsilon} for the vertex-connectivity survivable network design problem on undirected graphs, and k^{1/6-\epsilon} for the vertex-connectivity $k$-route cut problem on undirected graphs.

Includes members:
  Member "label cover instances with large girth and the hardness of approximating basic k spanner":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "graph spanners a tutorial review")
  Member "an improved approximation algorithm for the minimum cost subset k connected subgraph problem":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "polylogarithmic approximation algorithm for k connected directed steiner tree on quasi bipartite graphs")
  Member "approximation algorithms and hardness of the k route cut problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "downgrading to minimize connectivity")
  Member "a graph reduction step preserving element connectivity and applications":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "characterizations of the connected forcing number of a graph")
  Member "an o k 3 log n approximation algorithm for vertex connectivity survivable network design":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "polylogarithmic approximation algorithm for k connected directed steiner tree on quasi bipartite graphs")

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.CC(Computational Complexity)