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 lognloglogn upper bound on the price of stability for undirected shapley network design games"
  Abstract: In this paper, we consider the Shapley network design game on undirected networks. In this game, we have an edge weighted undirected network G(V,E) and n selfish players where player i wants to choose a low cost path from source vertex s"i to destination vertex t"i. The cost of each edge is equally split among players who pass it. The price of stability is defined as the ratio of the cost of the best Nash equilibrium to that of the optimal solution. We present an O(logn/loglogn) upper bound on price of stability for the single sink case, i.e., t"i=t for all i.

Connected through hyperedge HE-1 (induced by source paper "efficient black box reductions for separable cost sharing"):
  with members:
    - "a characterization of undirected graphs admitting optimal cost shares"
    - "designing networks with good equilibria under uncertainty"
    - "greedy algorithms for steiner forest"
    - "resource buying games"
    - "strategic cooperation in cost sharing games"
    - "approximation schemes for steiner forest on planar graphs and graphs of bounded treewidth"
    - "an optimal bifactor approximation algorithm for the metric uncapacitated facility location problem"

Connected through hyperedge HE-2 (induced by source paper "a characterization of undirected graphs admitting optimal cost shares"):
  with members:
    - "inefficiencies in network models a graph theoretic perspective"
    - "designing networks with good equilibria under uncertainty"
    - "an h n 2 upper bound on the price of stability of undirected network design games"
    - "sharing non anonymous costs of multiple resources optimally"
    - "potential games are necessary to ensure pure nash equilibria in cost sharing games"
    - "resource buying games"

Connected through hyperedge HE-3 (induced by source paper "timing matters online dynamics in broadcast games"):
  with members:
    - "online network design algorithms via hierarchical decompositions"

Connected through hyperedge HE-4 (induced by source paper "designing networks with good equilibria under uncertainty"):
  with members:
    - "online network design algorithms via hierarchical decompositions"
    - "potential games are necessary to ensure pure nash equilibria in cost sharing games"
    - "improving the price of anarchy for selfish routing via coordination mechanisms"
    - "efficient coordination mechanisms for unrelated machine scheduling"
    - "inner product spaces for minsum coordination mechanisms"

Connected through hyperedge HE-5 (induced by source paper "multicast network design game on a ring"):
  with members:
    - "an h n 2 upper bound on the price of stability of undirected network design games"

Connected through hyperedge HE-6 (induced by source paper "enforcing efficient equilibria in network design games via subsidies"):
  with members:
    - "improving the price of anarchy for selfish routing via coordination mechanisms"
    - "efficient coordination mechanisms for unrelated machine scheduling"
    - "the cost of stability in coalitional games"

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.GT(Computer Science and Game Theory)