In this paper we apply the tools developed in [3] to present some consequences of the study of UMP algebras and the ramifications graph of a bound quiver algebra for three cases: monomial algebras, self-injective Nakayama algebras and symmetric special biserial algebras. In particular, we prove that every weakly connected component of the ramifications graph of a UMP monomial algebra is unilaterally connected and we find all the self-injective Nakayama algebras that are UMP algebras. Moreover, we describe the ramifications graph of a symmetric special multiserial algebra and we classify which of them are UMP algebras in terms of their bound quivers and their associated Brauer graphs.