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 randomized generation of slowly synchronizing automata"
  Abstract: Motivated by the randomized generation of slowly synchronizing automata, we study automata made of permutation letters and a merging letter of rank $ n- 1 $. We present a constructive randomized procedure to generate minimal synchronizing automata of that kind with (potentially) large alphabet size based on recent results on \textit{primitive} sets of matrices. We report numerical results showing that our algorithm finds automata with much larger reset threshold than a mere uniform random generation and we present new families of automata with reset threshold of $ \Omega(n^2/4) $. We finally report theoretical results on randomized generation of primitive sets of matrices: a set of permutation matrices with a $ 0 $ entry changed into a $ 1 $ is primitive and has exponent of $ O(n\log n) $ with high probability in case of uniform random distribution and the same holds for a random set of binary matrices where each entry is set, independently, equal to $ 1 $ with probability $ p $ and equal to $ 0 $ with probability $ 1-p $, when $ np-\log n\rightarrow\infty $ as $ n\rightarrow\infty $.

Connected through hyperedge HE-1 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "on random primitive sets directable ndfas and the generation of slowly synchronizing dfas"
    - "the synchronizing probability function for primitive sets of matrices"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "experiments with synchronizing automata"
    - "reachability of consensus and synchronizing automata"
    - "synchronizing automata with extremal properties"
    - "strong inapproximability of the shortest reset word"

Connected through hyperedge HE-2 (induced by source paper "the synchronizing probability function for primitive sets of matrices"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "on random primitive sets directable ndfas and the generation of slowly synchronizing dfas"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "reachability of consensus and synchronizing automata"
    - "synchronizing automata with extremal properties"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "the complexity of finding reset words in finite automata"
    - "smoothed analysis of algorithms why the simplex algorithm usually takes polynomial time"

Connected through hyperedge HE-3 (induced by source paper "slowly synchronizing automata with idempotent letters of low rank"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "counting symbol switches in synchronizing automata"
    - "on the interplay between babai and v c ern y s conjectures"
    - "an extremal series of eulerian synchronizing automata"
    - "synchronizing automata with extremal properties"

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.FL(Formal Languages and Automata Theory)