human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "finding dfas with maximal shortest synchronizing word length"):
  Abstract: It was conjectured by Cerny in 1964 that a synchronizing DFA on $n$ states always has a shortest synchronizing word of length at most $(n-1)^2$, and he gave a sequence of DFAs for which this bound is reached. In 2006 Trahtman conjectured that apart from Cerny sequence only 8 DFAs exist attaining the bound. He gave an investigation of all DFAs up to certain size for which the bound is reached, and which do not contain other synchronizing DFAs. Here we extend this analysis in two ways: we drop this latter condition, and we drop limits on alphabet size. For $n \leq 4$ we do the full analysis yielding 19 new DFAs with smallest synchronizing word length $(n-1)^2$, refuting Trahtman's conjecture. Several of these new DFAs admit more than one synchronizing word of length $(n-1)^2$, and even the synchronizing state is not unique. All these new DFAs are extensions of DFAs that were known before. For $n \geq 5$ we prove that none of the DFAs in Trahtman's analysis can be extended similarly. In particular, as a main result we prove that the Cerny examples $C_n$ do not admit non-trivial extensions keeping the same smallest synchronizing word length $(n-1)^2$.

Includes members:
  Member "primitive digraphs with large exponents and slowly synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "approximating the minimum length of synchronizing words is hard":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "checking whether an automaton is monotonic is np complete")
  Member "the cerny conjecture for one cluster automata with prime length cycle":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "an extremal series of eulerian synchronizing automata")

Question: Please tell me which class the source paper 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)