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: "synchronizing automata with extremal properties"
  Abstract: We present a few classes of synchronizing automata exhibiting certain extremal properties with regard to synchronization. The first is a series of automata with subsets whose shortest extending words are of length \(\varTheta (n^2)\), where n is the number of states of the automaton. This disproves a conjecture that every subset in a strongly connected synchronizing automaton is cn-extendable, for some constant c, and in particular, shows that the cubic upper bound on the length of the shortest reset words cannot be improved generally by means of the extension method. A detailed analysis shows that the automata in the series have subsets that require words as long as \(n^2/4+O(n)\) in order to be extended by at least one element.

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"
    - "on randomized generation of slowly synchronizing automata"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "experiments with synchronizing automata"
    - "reachability of consensus and synchronizing automata"
    - "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"
    - "on randomized generation of slowly synchronizing automata"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "reachability of consensus and synchronizing automata"
    - "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"
    - "on randomized generation of slowly synchronizing automata"
    - "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"

Connected through hyperedge HE-4 (induced by source paper "extending word problems in deterministic finite automata"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "completely reachable automata"
    - "subset synchronization of transitive automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "strong inapproximability of the shortest reset word"
    - "on two algorithmic problems about synchronizing automata"
    - "on the probability of being synchronizable"
    - "modifying the upper bound on the length of minimal synchronizing word"

Connected through hyperedge HE-5 (induced by source paper "an extremal series of eulerian synchronizing automata"):
  with members:
    - "experiments with synchronizing automata"
    - "algebraic synchronization criterion and computing reset words"
    - "reset thresholds of automata with two cycle lengths"
    - "generating synchronizing automata with large reset lengths"
    - "strong inapproximability of the shortest reset word"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "slowly synchronizing automata and digraphs"
    - "the cerny conjecture for one cluster automata with prime length cycle"

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)