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: "reachability of consensus and synchronizing automata"
  Abstract: We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices that has a positive column. We then generalize some results from automata theory to sets of stochastic matrices. We obtain as a main result a polynomial-time algorithm to decide the existence of a sequence of matrices achieving consensus.

Connected through hyperedge HE-1 (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"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "experiments with synchronizing automata"
    - "synchronizing automata with extremal properties"
    - "strong inapproximability of the shortest reset word"

Connected through hyperedge HE-2 (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"
    - "on the interplay between babai and v c ern y s conjectures"
    - "completely reachable 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-3 (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"
    - "primitive sets of nonnegative matrices 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-4 (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"
    - "primitive sets of nonnegative matrices 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"

Connected through hyperedge HE-5 (induced by source paper "sets of stochastic matrices with converging products bounds and complexity"):
  with members:
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "strong inapproximability of the shortest reset word"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "analytical approach to parallel repetition"

Connected through hyperedge HE-6 (induced by source paper "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"):
  with members:
    - "independent sets of words and the synchronization problem"
    - "modifying the upper bound on the length of minimal synchronizing word"
    - "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.DC(Distributed, Parallel, and Cluster Computing)