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: "primitive sets of nonnegative matrices and synchronizing automata"
  Abstract: A set of nonnegative matrices $\mathcal{M}=\{M_1, M_2, \ldots, M_k\}$ is called primitive if there exist indices $i_1, i_2, \ldots, i_m$ such that $M_{i_1} M_{i_2} \ldots M_{i_m}$ is positive (i.e. has all its entries $>0$). The length of the shortest such product is called the exponent of $\mathcal{M}$. The concept of primitive sets of matrices comes up in a number of problems within control theory, non-homogeneous Markov chains, automata theory etc. Recently, connections between synchronizing automata and primitive sets of matrices were established. In the present paper, we significantly strengthen these links by providing equivalence results, both in terms of combinatorial characterization, and computational aspects. We study the maximal exponent among all primitive sets of $n \times n$ matrices, which we denote by $\exp(n)$. We prove that $\lim_{n\rightarrow\infty} \tfrac{\log \exp(n)}{n} = \tfrac{\log 3}{3}$, and moreover, we establish that this bound leads to a resolution of the \v{C}ern\'{y} problem for carefully synchronizing automata. We also study the set of matrices with no zero rows and columns, denoted by $\mathcal{NZ}$, due to its intriguing connections to the \v{C}ern\'{y} conjecture and the recent generalization of Perron-Frobenius theory for this class. We characterize computational complexity of different problems related to the exponent of $\mathcal{NZ}$ matrix sets, and present a quadratic bound on the exponents of sets belonging to a special subclass. Namely, we show that the exponent of a set of matrices having total support is bounded by $2n^2 -5n +5$.

Connected through hyperedge HE-1 (induced by source paper "cerny starke conjecture from the sixties of xx century"):
  with members:
    - "matrix approach to synchronizing automata"
    - "finding dfas with maximal shortest synchronizing word length"
    - "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "algebraic synchronization criterion and computing reset words"
    - "slowly synchronizing automata and digraphs"

Connected through hyperedge HE-2 (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"
    - "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-3 (induced by source paper "matrix approach to synchronizing automata"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "finding dfas with maximal shortest synchronizing word length"
    - "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "algebraic synchronization criterion and computing reset words"
    - "slowly synchronizing automata and digraphs"

Connected through hyperedge HE-4 (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"
    - "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-5 (induced by source paper "lower bounds for synchronizing word lengths in partial automata"):
  with members:
    - "finding dfas with maximal shortest synchronizing word length"
    - "experiments with synchronizing automata"
    - "subset synchronization and careful synchronization of binary finite automata"
    - "primitive digraphs with large exponents and slowly synchronizing automata"

Connected through hyperedge HE-6 (induced by source paper "using sat solvers for synchronization issues in non deterministic automata"):
  with members:
    - "lower bounds for synchronizing word lengths in partial automata"
    - "directable fuzzy and nondeterministic automata"
    - "generating shortest synchronizing sequences using answer set programming"
    - "experimental study of the shortest reset word of random automata"

Connected through hyperedge HE-7 (induced by source paper "synchronization problems in automata without non trivial cycles"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "finding short synchronizing words for prefix codes"
    - "subset synchronization in monotonic automata"
    - "approximating the maximum number of synchronizing states in automata"
    - "completely reachable automata"
    - "subset synchronization and careful synchronization of binary finite automata"
    - "subset synchronization of transitive automata"
    - "strong inapproximability of the shortest reset word"

Connected through hyperedge HE-8 (induced by source paper "on the interplay between babai and v c ern y s conjectures"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "reachability of consensus and synchronizing automata"
    - "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"
    - "reset complexity of ideal languages"
    - "subset synchronization of transitive automata"
    - "preset distinguishing sequences and diameter of transformation semigroups"
    - "primitive digraphs with large exponents and slowly synchronizing automata"

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)