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 "a computational study of f reversible processes on graphs"):
  Abstract: Abstract   An    f   -reversible process on a graph    G  =   (  V  ,  E  )     is a graph dynamical system on    V   (  G  )     defined as follows. Given a function    f  :  V   (  G  )   →  N    and an initial vertex labeling      c    0    :  V   (  G  )   →   {  0  ,  1  }    , every vertex    v    changes its label if and only if at least    f   (  v  )     of its neighbors have the opposite state, synchronously in discrete-time. For such processes, we present a new nondecreasing time function similar to the monotonically decreasing energy functions used to study threshold networks, which leads to a periodic behavior after a transient phase. Using this new function, we provide a tight upper bound on the transient length of    f   -reversible processes. Furthermore, we prove that it is equal to    n  −  3    for trees with    n  ≥  4    vertices and    Im   (  f  )   =   {  2  }    . Moreover we present an algorithm that generates all the initial configurations attaining this bound and we prove that the number of such configurations is    O   (  n  )    . We also consider the problem of determining the smallest number      r    f     (  G  )     of vertices with initial label 1 for which all the vertices eventually reach label 1 after the complete evolution of the dynamics, which models consensus problems on networks. We prove that it is    N  P   -hard to compute      r    f     (  G  )     even for bipartite graphs with    Δ   (  G  )   ≤  3    and    Im   (  f  )   =   {  1  ,  2  ,  3  }    . Finally, we prove that    β   (  G  )   ≤    r    f     (  G  )   ≤  β   (  G  )   +  1   , when    f   (  v  )   =  d   (  v  )     for all    v  ∈  V   (  G  )    , where    β   (  G  )     is the size of a minimum vertex cover of    G   .

Includes members:
  Member "the predecessor existence problem for k reversible processes":
    also connected through other hyperedges:
      (none)
  Member "influence diffusion in social networks under time window constraints":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "time bounded influence diffusion with incentives")

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.DS(Data Structures and Algorithms)