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This is a collection of examples showing how the GAP system can be used tocompute information about the generating graphs of finite groups. It includesall examples that were needed for the computational results in the paper"Hamiltonian cycles in the generating graphs of finite groups" by ThomasBreuer, Robert M. Guralnick, Andrea Lucchini, Attila Mar\'oti, and G\'abor P.Nagy. The purpose of this writeup is twofold. On the one hand, the computationsare documented this way. On the other hand, the GAP code shown for the examplescan be used as test input for automatic checking of the data and the functionsused.

GAP Computations Concerning Hamiltonian Cycles in the Generating Graphs of Finite Groups