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: "modifying the upper bound on the length of minimal synchronizing word"
  Abstract: A word $w$ is called synchronizing (recurrent, reset, magic, directable) word of deterministic finite automaton (DFA) if $w$ sends all states of the automaton to a unique state. In 1964 Jan \v{C}erny found a sequence of n-state complete DFA possessing a minimal synchronizing word of length $(n-1)^2$. He conjectured that it is an upper bound on the length of such words for complete DFA. Nevertheless, the best upper bound $(n^3-n)/6$ was found almost 30 years ago. We reduce the upper bound on the length of the minimal synchronizing word to $n(7n^2+6n-16)/48$. An implemented algorithm for finding synchronizing word with restricted upper bound is described. The work presents the distribution of all synchronizing automata of small size according to the length of an almost minimal synchronizing word.

Connected through hyperedge HE-1 (induced by source paper "improving the upper bound on the length of the shortest reset word"):
  with members:
    - "experiments with synchronizing automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "algebraic synchronization criterion and computing reset words"

Connected through hyperedge HE-2 (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"
    - "synchronizing automata with extremal properties"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "experiments with synchronizing automata"):
  with members:
    - "subset synchronization of transitive automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "algebraic synchronization criterion and computing reset words"
    - "generating synchronizing automata with large reset lengths"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "independent sets of words and the synchronization problem"
    - "slowly synchronizing automata and digraphs"
    - "the cerny conjecture for one cluster automata with prime length cycle"

Connected through hyperedge HE-4 (induced by source paper "synchronizing automata with extremal properties"):
  with members:
    - "a note on a recent attempt to improve the pin frankl bound"
    - "algebraic synchronization criterion and computing reset words"
    - "reset thresholds of automata with two cycle lengths"
    - "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"

Connected through hyperedge HE-5 (induced by source paper "complexity of a problem concerning reset words for eulerian binary automata"):
  with members:
    - "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"
    - "the complexity of finding reset words in finite automata"

Connected through hyperedge HE-6 (induced by source paper "parameterized complexity of synchronization and road coloring"):
  with members:
    - "complexity of road coloring with prescribed reset words"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "the cerny conjecture for one cluster automata with prime length cycle"
    - "the road coloring problem"

Connected through hyperedge HE-7 (induced by source paper "subset synchronization and careful synchronization of binary finite automata"):
  with members:
    - "complexity of a problem concerning reset words for eulerian binary automata"
    - "approximating the minimum length of synchronizing words is hard"
    - "the road coloring problem"

Connected through hyperedge HE-8 (induced by source paper "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"):
  with members:
    - "reachability of consensus and synchronizing automata"
    - "independent sets of words and the synchronization problem"
    - "slowly synchronizing automata and digraphs"

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.DM(Discrete Mathematics)