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 "sets of stochastic matrices with converging products bounds and complexity"):
  Abstract: An SIA matrix is a stochastic matrix whose sequence of powers converges to a rank-one matrix. This convergence is desirable in various applications making use of stochastic matrices, such as consensus, distributed optimization and Markov chains. We study the shortest SIA products of sets of matrices. We observe that the shortest SIA product of a set of matrices is usually very short and we provide a first upper bound on the length of the shortest SIA product (if one exists) of any set of stochastic matrices. We also provide an algorithm that decides the existence of an SIA product. #R##N#When particularized to automata, the problem becomes that of finding periodic synchronizing words, and we develop the consequences of our results in relation with the celebrated Cerny conjecture in automata theory. #R##N#We also investigate links with the related notions of positive-column, Sarymsakov, and scrambling matrices.

Includes members:
  Member "primitive sets of nonnegative matrices and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "reachability of consensus and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "strong inapproximability of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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-4 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "analytical approach to parallel repetition":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "an improved algorithm for dynamic set cover")

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.DM(Discrete Mathematics)