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: "an o n 2 time algorithm for alternating b uchi games"
  Abstract: Computing the winning set for B{\"u}chi objectives in alternating games on graphs is a central problem in computer aided verification with a large number of applications. The long standing best known upper bound for solving the problem is $\tilde{O}(n \cdot m)$, where $n$ is the number of vertices and $m$ is the number of edges in the graph. We are the first to break the $\tilde{O}(n\cdot m)$ bound by presenting a new technique that reduces the running time to $O(n^2)$. This bound also leads to an $O(n^2)$ algorithm time for computing the set of almost-sure winning vertices in alternating games with probabilistic transitions (improving an earlier bound of $\tilde{O}(n\cdot m)$) and in concurrent graph games with constant actions (improving an earlier bound of $O(n^3)$). We also show that the same technique can be used to compute the maximal end-component decomposition of a graph in time $O(n^2)$. Finally, we show how to maintain the winning set for B{\"u}chi objectives in alternating games under a sequence of edge insertions or a sequence of edge deletions in O(n) amortized time per operation. This is the first dynamic algorithm for this problem.

Connected through hyperedge HE-1 (induced by source paper "cegar for qualitative analysis of probabilistic systems"):
  with members:
    - "the complexity of partial observation stochastic parity games with finite memory strategies"
    - "what is decidable about partially observable markov decision processes with omega regular objectives"
    - "interface simulation distances"
    - "assume guarantee abstraction refinement for probabilistic systems"
    - "faster algorithms for alternating refinement relations"
    - "decidable problems for probabilistic automata on infinite words"
    - "partial observation stochastic games how to win when belief fails"
    - "qualitative analysis of partially observable markov decision processes"

Connected through hyperedge HE-2 (induced by source paper "verification of markov decision processes using learning algorithms"):
  with members:
    - "automata with generalized rabin pairs for probabilistic model checking and ltl synthesis"
    - "scalable verification of markov decision processes"
    - "lightweight monte carlo algorithm for markov decision processes"
    - "deterministic automata for the f g fragment of ltl"
    - "uppaal smc statistical model checking for priced timed automata"
    - "cross entropy optimisation of importance sampling parameters for statistical model checking"

Connected through hyperedge HE-3 (induced by source paper "sublinear time decremental algorithms for single source reachability and shortest paths on directed graphs"):
  with members:
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "distributed approximation algorithms for weighted shortest paths"

Connected through hyperedge HE-4 (induced by source paper "improved algorithms for one pair and k pair streett objectives"):
  with members:
    - "faster algorithms for alternating refinement relations"
    - "timed parity games complexity and robustness"

Connected through hyperedge HE-5 (induced by source paper "fatal attractors in parity games building blocks for partial solvers"):
  with members:
    - "zielonka s recursive algorithm dull weak and solitaire games and tighter bounds"
    - "automatic verification of correspondences for security protocols"

Connected through hyperedge HE-6 (induced by source paper "meet your expectations with guarantees beyond worst case synthesis in quantitative games"):
  with members:
    - "the complexity of the kth largest subset problem and related problems"
    - "variations on the stochastic shortest path problem"
    - "symblicit algorithms for optimal strategy synthesis in monotonic markov decision processes"
    - "percentile queries in multi dimensional markov decision processes"
    - "expectations or guarantees i want it all a crossroad between games and mdps"
    - "trading performance for stability in markov decision processes"
    - "looking at mean payoff and total payoff through windows"
    - "the complexity of multi mean payoff and multi energy games"

Connected through hyperedge HE-7 (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"
    - "infinite state games with finitary conditions"
    - "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"
    - "the surprizing complexity of generalized reachability games"
    - "generalized mean payoff and energy games"

Connected through hyperedge HE-8 (induced by source paper "faster algorithms for markov decision processes with low treewidth"):
  with members:
    - "measuring and synthesizing systems in probabilistic environments"
    - "probabilistic systems with limsup and liminf objectives"

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)