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: "first cycle games"
  Abstract: First cycle games (FCG) are played on a finite graph by two players who push a token along the edges until a vertex is repeated, and a simple cycle is formed. The winner is determined by some fixed property Y of the sequence of labels of the edges (or nodes) forming this cycle. These games are traditionally of interest because of their connection with infinite-duration games such as parity and mean-payoff games. We study the memory requirements for winning strategies of FCGs and certain associated infinite duration games. We exhibit a simple FCG that is not memoryless determined (this corrects a mistake in Memoryless determinacy of parity and mean payoff games: a simple proof by Bjâ‹¯orklund, Sandberg, Vorobyov (2004) that claims that FCGs for which Y is closed under cyclic permutations are memoryless determined). We show that I¸ (n)! memory (where n is the number of nodes in the graph), which is always sufficient, may be necessary to win some FCGs. On the other hand, we identify easy to check conditions on Y (i.e., Y is closed under cyclic permutations, and both Y and its complement are closed under concatenation) that are sufficient to ensure that the corresponding FCGs and their associated infinite duration games are memoryless determined. We demonstrate that many games considered in the literature, such as mean-payoff, parity, energy, etc., satisfy these conditions. On the complexity side, we show (for efficiently computable Y) that while solving FCGs is in PSPACE, solving some families of FCGs is PSPACE-hard.

Connected through hyperedge HE-1 (induced by source paper "games where you can play optimally with finite memory"):
  with members:
    - "concurrent games and semi random determinacy"
    - "extending finite memory determinacy by boolean combination of winning conditions"
    - "trading bounds for memory in games with counters"
    - "window parity games an alternative approach toward parity games with time bounds"
    - "average energy games"
    - "non zero sum games for reactive synthesis"
    - "fixed dimensional energy games are in pseudo polynomial time"
    - "looking at mean payoff and total payoff through windows"

Connected through hyperedge HE-2 (induced by source paper "determinacy in discrete bidding infinite duration games"):
  with members:
    - "all pay bidding games on graphs"
    - "concurrent games and semi random determinacy"
    - "infinite duration poorman bidding games"
    - "quantitative analysis of smart contracts"
    - "infinite duration bidding games"
    - "discrete all pay bidding games"
    - "on subgame perfection in quantitative reachability games"
    - "reasoning about strategies on the model checking problem"

Connected through hyperedge HE-3 (induced by source paper "learning based mean payoff optimization in an unknown mdp under omega regular constraints"):
  with members:
    - "safe reinforcement learning via shielding"
    - "optimizing the expected mean payoff in energy markov decision processes"
    - "correct by synthesis reinforcement learning with temporal logic constraints"

Connected through hyperedge HE-4 (induced by source paper "on delay and regret determinization of max plus automata"):
  with members:
    - "comparison of max plus automata and joint spectral radius of tropical matrices"
    - "on equivalence and uniformisation problems for finite transducers"
    - "quantitative languages defined by functional automata"
    - "reactive synthesis without regret"
    - "mean payoff automaton expressions"
    - "on the decomposition of k valued rational relations"

Connected through hyperedge HE-5 (induced by source paper "extending finite memory determinacy general techniques and an application to energy parity games"):
  with members:
    - "multidimensional beyond worst case and almost sure problems for mean payoff objectives"
    - "infinite sequential games with real valued payoffs"
    - "weihrauch degrees of finding equilibria in sequential games"
    - "how to be both rich and happy combining quantitative and qualitative strategic reasoning about multi player games extended abstract"
    - "parity and streett games with costs"
    - "multiplayer cost games with simple nash equilibria"
    - "synthesis of succinct systems"
    - "energy parity games"

Connected through hyperedge HE-6 (induced by source paper "easy to win hard to master optimal strategies in parity games with costs"):
  with members:
    - "optimal strategy synthesis for request response games"
    - "parametric linear dynamic logic"
    - "parity and streett games with costs"
    - "optimal bounds in parametric ltl games"

Connected through hyperedge HE-7 (induced by source paper "average energy games"):
  with members:
    - "limit your consumption finding bounds in average energy games"
    - "minimizing running costs in consumption systems"
    - "reachability in two clock timed automata is pspace complete"
    - "looking at mean payoff and total payoff through windows"
    - "automated synthesis of reliable and efficient systems through game theory a case study"
    - "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"

Connected through hyperedge HE-8 (induced by source paper "average energy games full version"):
  with members:
    - "limit your consumption finding bounds in average energy games"
    - "average energy games"
    - "minimizing running costs in consumption systems"
    - "reachability in two clock timed automata is pspace complete"
    - "strategy synthesis for multi dimensional quantitative objectives"
    - "energy parity games"
    - "better quality in synthesis through quantitative objectives"
    - "model checking probabilistic timed automata with one or two clocks"

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.LO(Logic in Computer Science)