  A giant cluster emerges discontinuously in bond percolation in various
networks when the growth of large clusters is globally suppressed. It was
recently revealed that this phenomenon occurs even in a scale-free (SF)
network, where hubs accelerate the growth of large clusters. The SF network
used in the previous study was disassortative, though, so it is necessary to
check whether the phenomenon also occurs in an assortative SF network, where
each hub prefers to be connected to another hub and thus the large cluster
growth is accelerated. In this paper, we find that the phenomenon, namely the
discontinuous emergence of a giant cluster in bond percolation with the global
suppression of large clusters, also occurs in an assortative SF network.
Interestingly, the generated network is also assortative but not a SF network
at the transition point, unlike the disassortative SF network generated at the
transition point in the previous study. We observe similar behaviors in two
additional models and discuss the results.
