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: "infinite state games with finitary conditions"
  Abstract: We study two-player zero-sum games over infinite-state graphs with boundedness conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state graphs, memoryless strategies are sufficient for finitary B\"uchi games, and finite-memory suffices for finitary parity games. We then study pushdown boundedness games, with two contributions. First we prove a collapse result for pushdown omega B games, implying the decidability of solving these games. Second we consider pushdown games with finitary parity along with stack boundedness conditions, and show that solving these games is EXPTIME-complete.

Connected through hyperedge HE-1 (induced by source paper "parity games with weights"):
  with members:
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "easy to win hard to master optimal strategies in parity games with costs"
    - "symmetric strategy improvement"

Connected through hyperedge HE-2 (induced by source paper "window parity games an alternative approach toward parity games with time bounds"):
  with members:
    - "easy to win hard to master optimal strategies in parity games with costs"
    - "looking at mean payoff and total payoff through windows"
    - "automated synthesis of reliable and efficient systems through game theory a case study"
    - "parity and streett games with costs"
    - "strategy synthesis for multi dimensional quantitative objectives"
    - "the surprizing complexity of generalized reachability games"

Connected through hyperedge HE-3 (induced by source paper "weighted automata on infinite words in the context of attacker defender games"):
  with members:
    - "undecidability of two dimensional robot games"
    - "on the complexity of counter reachability games"
    - "the complexity of robot games on the integer line"
    - "reachability games on extended vector addition systems with states"
    - "braid group cryptography"

Connected through hyperedge HE-4 (induced by source paper "looking at mean payoff and total payoff through windows"):
  with members:
    - "polynomial time algorithms for energy games with special weight structures"
    - "meet your expectations with guarantees beyond worst case synthesis in quantitative games"
    - "synthesis from ltl specifications with mean payoff objectives"
    - "the complexity of multi mean payoff and multi energy games"
    - "strategy synthesis for multi dimensional quantitative objectives"
    - "an o n 2 time algorithm for alternating b uchi games"
    - "the surprizing complexity of generalized reachability games"
    - "generalized mean payoff and energy 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)