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: "on the complexity of counter reachability games"
  Abstract: Counter reachability games are played by two players on a graph with labelled edges. Each move consists in picking an edge from the current location and adding its label to a counter vector. The objective is to reach a given counter value in a given location. We distinguish three semantics for counter reachability games, according to what happens when a counter value would become negative: the edge is either disabled, or enabled but the counter value becomes zero, or enabled. We consider the problem of deciding the winner in counter reachability games and show that, in most cases, it has the same complexity under all semantics. Surprisingly, under one semantics, the complexity in dimension one depends on whether the objective value is zero or any other integer.

Connected through hyperedge HE-1 (induced by source paper "reachability games with relaxed energy constraints"):
  with members:
    - "bounding average energy games"
    - "average energy games"
    - "fixed dimensional energy games are in pseudo polynomial time"
    - "reachability in succinct one counter games"
    - "reachability in two clock timed automata is pspace complete"
    - "the complexity of multi mean payoff and multi energy games"
    - "strategy synthesis for multi dimensional quantitative objectives"
    - "generalized mean payoff and energy games"

Connected through hyperedge HE-2 (induced by source paper "undecidability of two dimensional robot games"):
  with members:
    - "weighted automata on infinite words in the context of attacker defender games"
    - "reachability in succinct one counter games"
    - "solving parity games on integer vectors"
    - "the complexity of robot games on the integer line"
    - "reachability games on extended vector addition systems with states"
    - "energy parity 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"
    - "the complexity of robot games on the integer line"
    - "infinite state games with finitary conditions"
    - "reachability games on extended vector addition systems with states"
    - "braid group cryptography"

Connected through hyperedge HE-4 (induced by source paper "quantitative games with interval objectives"):
  with members:
    - "reachability in two clock timed automata is pspace complete"
    - "reachability games on extended vector addition systems with states"
    - "generalized mean payoff and energy games"

Connected through hyperedge HE-5 (induced by source paper "reachability in succinct one counter games"):
  with members:
    - "reachability in two clock timed automata is pspace complete"
    - "the complexity of robot games on the integer line"
    - "reachability games on extended vector addition systems with states"

Connected through hyperedge HE-6 (induced by source paper "integer vector addition systems with states"):
  with members:
    - "subclasses of presburger arithmetic and the weak exp hierarchy"
    - "semilinearity and context freeness of languages accepted by valence automata"

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)