  In this work, we revisited the ZGB model in order to study the behavior of
its phase diagram when two well-known random networks play the role of the
catalytic surfaces: the Random Geometric Graph and the Erd\"{o}s-R\'{e}nyi
network. The connectivity and, therefore, the average number of neighbors of
the nodes of these networks can vary according to their control parameters, the
neighborhood radius $\alpha$ and the linking probability $p$, respectively. In
addition, the catalytic reactions of the ZGB model are governed by the
parameter $y$, the adsorption rate of carbon monoxide molecules on the
catalytic surface. So, to study the phase diagrams of the model on both random
networks, we carried out extensive steady-state Monte Carlo simulations in the
space parameters ($y,\alpha$) and ($y,p$) and showed that the continuous phase
transition is greatly affected by the topological features of the networks
while the discontinuous one remains present in the diagram throughout the
interval of study.
