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 "algebraic synchronization criterion and computing reset words"):
  Abstract: We refine a uniform algebraic approach for deriving upper bounds on reset thresholds of synchronizing automata. We express the condition that an automaton is synchronizing in terms of linear algebra, and obtain upper bounds for the reset thresholds of automata with a short word of a small rank. The results are applied to make several improvements in the area. #R##N#We improve the best general upper bound for reset thresholds of finite prefix codes (Huffman codes): we show that an $n$-state synchronizing decoder has a reset word of length at most $O(n \log^3 n)$. In addition to that, we prove that the expected reset threshold of a uniformly random synchronizing binary $n$-state decoder is at most $O(n \log n)$. We also show that for any non-unary alphabet there exist decoders whose reset threshold is in $\varTheta(n)$. #R##N#We prove the \v{C}ern\'{y} conjecture for $n$-state automata with a letter of rank at most $\sqrt[3]{6n-6}$. In another corollary, based on the recent results of Nicaud, we show that the probability that the \v{C}ern\'y conjecture does not hold for a random synchronizing binary automaton is exponentially small in terms of the number of states, and also that the expected value of the reset threshold of an $n$-state random synchronizing binary automaton is at most $n^{3/2+o(1)}$. #R##N#Moreover, reset words of lengths within all of our bounds are computable in polynomial time. We present suitable algorithms for this task for various classes of automata, such as (quasi-)one-cluster and (quasi-)Eulerian automata, for which our results can be applied.

Includes members:
  Member "experiments with synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "fast synchronization of random automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "synchronizing automata with large reset lengths":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the number of synchronizing colorings of digraphs")
  Member "strong inapproximability of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "primitive digraphs with large exponents and slowly synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "on the probability to be synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "testing for synchronization")
  Member "on two algorithmic problems about synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "on the probability of being synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "optimal synchronization of partial deterministic finite 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)