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: "tree nash equilibria in the network creation game"
  Abstract: In the network creation game with n vertices, every vertex (a player) buys a set of adjacent edges, each at a fixed amount {\alpha} > 0. It has been conjectured that for {\alpha} >= n, every Nash equilibrium is a tree, and has been confirmed for every {\alpha} >= 273n. We improve upon this bound and show that this is true for every {\alpha} >= 65n. To show this, we provide new and improved results on the local structure of Nash equilibria. Technically, we show that if there is a cycle in a Nash equilibrium, then {\alpha}  = 41n, then every such Nash equilibrium is a tree.

Connected through hyperedge HE-1 (induced by source paper "geometric network creation games"):
  with members:
    - "on the constant price of anarchy conjecture"
    - "on the tree conjecture for the network creation game"
    - "network creation games structure vs anarchy"
    - "selfish network creation with non uniform edge cost"
    - "locality based network creation games"
    - "on selfish creation of robust networks"
    - "strategic network formation with attack and immunization"
    - "network creation games think global act local"

Connected through hyperedge HE-2 (induced by source paper "on the price of anarchy for high price links"):
  with members:
    - "on the constant price of anarchy conjecture"
    - "on the tree conjecture for the network creation game"
    - "network creation games structure vs anarchy"
    - "a bounded budget network creation game"
    - "network formation games with heterogeneous players and the internet structure"
    - "bounded distance network creation games"

Connected through hyperedge HE-3 (induced by source paper "on the constant price of anarchy conjecture"):
  with members:
    - "network creation games structure vs anarchy"
    - "network formation games with heterogeneous players and the internet structure"
    - "bounded distance network creation games"

Connected through hyperedge HE-4 (induced by source paper "on the tree conjecture for the network creation game"):
  with members:
    - "on the constant price of anarchy conjecture"
    - "network creation games structure vs anarchy"
    - "selfish network creation with non uniform edge cost"
    - "on strong equilibria and improvement dynamics in network creation games"
    - "locality based network creation games"
    - "on selfish creation of robust networks"
    - "strategic network formation with attack and immunization"
    - "a bounded budget network creation game"

Connected through hyperedge HE-5 (induced by source paper "selfish network creation with non uniform edge cost"):
  with members:
    - "locality based network creation games"
    - "network creation games think global act local"
    - "quality of service in network creation games"
    - "network formation games with heterogeneous players and the internet structure"
    - "on dynamics in selfish network creation"
    - "greedy selfish network creation"

Connected through hyperedge HE-6 (induced by source paper "on strong equilibria and improvement dynamics in network creation games"):
  with members:
    - "on the tree conjecture for the network creation game"
    - "selfish network creation with non uniform edge cost"
    - "on dynamics in selfish network creation"
    - "greedy selfish network creation"

Connected through hyperedge HE-7 (induced by source paper "locality based network creation games"):
  with members:
    - "the max distance network creation game on general host graphs"
    - "on dynamics in selfish network creation"
    - "greedy selfish network creation"
    - "bounded distance network creation games"
    - "the price of anarchy in cooperative network creation games"
    - "bounded budget connection bbc games or how to make friends and influence people on a budget"

Connected through hyperedge HE-8 (induced by source paper "network creation games think global act local"):
  with members:
    - "locality based network creation games"
    - "on dynamics in selfish network creation"
    - "greedy selfish network creation"

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)