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 interplay between babai and v c ern y s conjectures"
  Abstract: Motivated by the Babai conjecture and the Cerny conjecture, we study the reset thresholds of automata with the transition monoid equal to the full monoid of transformations of the state set. For automata with $n$ states in this class, we prove that the reset thresholds are upper-bounded by $2n^2-6n+5$ and can attain the value $\tfrac{n(n-1)}{2}$. In addition, we study diameters of the pair digraphs of permutation automata and construct $n$-state permutation automata with diameter $\tfrac{n^2}{4} + o(n^2)$.

Connected through hyperedge HE-1 (induced by source paper "on completely reachable automata and subset reachability"):
  with members:
    - "complexity of preimage problems for deterministic finite automata"
    - "improving the upper bound on the length of the shortest reset word"
    - "completely reachable automata"
    - "reachability of consensus and synchronizing automata"
    - "subset synchronization and careful synchronization of binary finite automata"
    - "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"
    - "subset synchronization of transitive automata"
    - "a note on a recent attempt to improve the pin frankl bound"

Connected through hyperedge HE-2 (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"
    - "an extremal series of eulerian synchronizing automata"
    - "synchronizing automata with extremal properties"

Connected through hyperedge HE-3 (induced by source paper "on random primitive sets directable ndfas and the generation of slowly synchronizing dfas"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "an extremal series of eulerian synchronizing automata"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "on the probability of being synchronizable"

Connected through hyperedge HE-4 (induced by source paper "a characterization of completely reachable automata"):
  with members:
    - "on completely reachable automata and subset reachability"
    - "completely reachable automata"
    - "reset complexity of ideal languages"

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)