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: "the max distance network creation game on general host graphs"
  Abstract: In this paper we study a generalization of the classic \emph{network creation game} in the scenario in which the $n$ players sit on a given arbitrary \emph{host graph}, which constrains the set of edges a player can activate at a cost of $\alpha \geq 0$ each. This finds its motivations in the physical limitations one can have in constructing links in practice, and it has been studied in the past only when the routing cost component of a player is given by the sum of distances to all the other nodes. Here, we focus on another popular routing cost, namely that which takes into account for each player its \emph{maximum} distance to any other player. For this version of the game, we first analyze some of its computational and dynamic aspects, and then we address the problem of understanding the structure of associated pure Nash equilibria. In this respect, we show that the corresponding price of anarchy (PoA) is fairly bad, even for several basic classes of host graphs. More precisely, we first exhibit a lower bound of $\Omega (\sqrt{ n / (1+\alpha)})$ for any $\alpha = o(n)$. Notice that this implies a counter-intuitive lower bound of $\Omega(\sqrt{n})$ for very small values of $\alpha$ (i.e., edges can be activated almost for free). Then, we show that when the host graph is restricted to be either $k$-regular (for any constant $k \geq 3$), or a 2-dimensional grid, the PoA is still $\Omega(1+\min\{\alpha, \frac{n}{\alpha}\})$, which is proven to be tight for $\alpha=\Omega(\sqrt{n})$. On the positive side, if $\alpha \geq n$, we show the PoA is $O(1)$. Finally, in the case in which the host graph is very sparse (i.e., $|E(H)|=n-1+k$, with $k=O(1)$), we prove that the PoA is $O(1)$, for any $\alpha$.

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 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-3 (induced by source paper "locality based network creation games"):
  with members:
    - "tree nash equilibria in the network creation game"
    - "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-4 (induced by source paper "stars and celebrities a network creation game"):
  with members:
    - "network creation games think global act local"
    - "on the structure of equilibria in basic network formation"
    - "diffusion in social networks with competing products"
    - "bounded distance network creation games"
    - "the price of anarchy in cooperative network creation games"

Connected through hyperedge HE-5 (induced by source paper "on dynamics in selfish network creation"):
  with members:
    - "a classification of weakly acyclic games"
    - "basic network creation games with communication interests"
    - "greedy selfish network creation"
    - "the price of anarchy in cooperative network creation 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)