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 "complexity of road coloring with prescribed reset words"):
  Abstract: By the Road Coloring Theorem (Trahtman, 2008), the edges of any aperiodic directed multigraph with a constant out-degree can be colored such that the resulting automaton admits a reset word. There may also be a need for a particular reset word to be admitted. For certain words it is NP-complete to decide whether there is a suitable coloring of a given multigraph. We present a classification of all words over the binary alphabet that separates such words from those that make the problem solvable in polynomial time. We show that the classification becomes different if we consider only strongly connected multigraphs. In this restricted setting the classification remains incomplete.

Includes members:
  Member "on the number of synchronizing colorings of digraphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "synchronizing automata and principal eigenvectors of the underlying digraphs")
  Member "a note on a recent attempt to improve the pin frankl bound":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "parameterized complexity of synchronization and road coloring":
    also connected through other hyperedges:
      (none)
  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 "an algorithm for road coloring":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a quadratic algorithm for road coloring")
  Member "a quadratic algorithm for road coloring":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the number of synchronizing colorings of digraphs")
  Member "the road coloring problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "synchronizing random almost group 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)