How to get ALL kinds of reverse package dependencies: reverse-depends pendant for non-Ubuntu distributions

I would like to find all possible reverse dependencies (no need for recursive reverse dependencies) of a certain package p, that is, I want to find all packages which depend on p. This shall include reverse dependencies on p‘s source package and also reverse build dependencies.

yum install in user home for non-admins

I am a non-admin user on a large computer system. I need some up to date packages that are not installed on the system. I want to use yum to install them. As a user without sudo, admin, or root access, can I use package management to install packages in my home directory? I can always use make from the sources, but being able to use yum will make life easier.