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: "the dynamics of probabilistic population protocols"
  Abstract: We study here the dynamics (and stability) of Probabilistic Population Protocols, via the differential equations approach. We provide a quite general model and we show that it includes the model of Angluin et. al. in the case of very large populations. For the general model we give a sufficient condition for stability that can be checked in polynomial time. We also study two interesting subcases: (a) protocols whose specifications (in our terms) are configuration independent. We show that they are always stable and that their eventual subpopulation percentages are actually a Markov Chain stationary distribution. (b) protocols that have dynamics resembling virus spread. We show that their dynamics are actually similar to the well-known Replicator Dynamics of Evolutionary Games. We also provide a sufficient condition for stability in this case.

Connected through hyperedge HE-1 (induced by source paper "population protocols with faulty interactions the impact of a leader"):
  with members:
    - "on the power of weaker pairwise interaction fault tolerant simulation of population protocols"
    - "time varying graphs and dynamic networks"
    - "passively mobile communicating machines that use restricted space"
    - "on the convergence of population protocols when population goes to infinity"

Connected through hyperedge HE-2 (induced by source paper "on the power of weaker pairwise interaction fault tolerant simulation of population protocols"):
  with members:
    - "passively mobile communicating machines that use restricted space"

Connected through hyperedge HE-3 (induced by source paper "the computational power of beeps"):
  with members:
    - "trade offs between selection complexity and performance when searching the plane without communication"
    - "beeping a maximal independent set"
    - "feedback from nature an optimal distributed algorithm for maximal independent set selection"
    - "deploying wireless networks with beeps"
    - "the computational power of population protocols"

Connected through hyperedge HE-4 (induced by source paper "on convergence and threshold properties of discrete lotka volterra population protocols"):
  with members:
    - "global majority consensus by local majority polling on graphs of a given degree sequence"
    - "the power of two choices in distributed voting"
    - "determining majority in networks with local interactions and very small local memory"
    - "simple dynamics for plurality consensus"
    - "the computational power of population protocols"

Connected through hyperedge HE-5 (induced by source paper "on the algebraic numbers computable by some generalized ehrenfest urns"):
  with members:
    - "on the convergence of population protocols when population goes to infinity"

Connected through hyperedge HE-6 (induced by source paper "passively mobile communicating machines that use restricted space"):
  with members:
    - "passively mobile communicating logarithmic space machines"
    - "playing with population protocols"
    - "on the convergence of population protocols when population goes to infinity"
    - "the computational power of population protocols"

Connected through hyperedge HE-7 (induced by source paper "passively mobile communicating logarithmic space machines"):
  with members:
    - "playing with population protocols"
    - "on the convergence of population protocols when population goes to infinity"
    - "the computational power of population protocols"

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)