On a Debian distribution (Mint, Ubuntu), the apt-get install command can be used. On a Red Hat distribution (CentOS, Fedora, Red Hat), the dnf install or yum install command can be used.

dnf install postgresql-server

Then use the postgressql-setup initdb command to initialize the database.

~]$ sudo postgresql-setup initdb
Initializing database ... OK

You should now be able to start and enable the service.

sudo systemctl start postgresql
sudo systemctl enable postgresql

The psql --list command can be used to list the databases.

~]$ sudo -u postgres psql --list
                                  List of databases
   Name    |  Owner   | Encoding |   Collate   |    Ctype    |   Access privileges
-----------+----------+----------+-------------+-------------+-----------------------
 postgres  | postgres | UTF8     | en_US.UTF-8 | en_US.UTF-8 |
 template0 | postgres | UTF8     | en_US.UTF-8 | en_US.UTF-8 | =c/postgres          +
           |          |          |             |             | postgres=CTc/postgres
 template1 | postgres | UTF8     | en_US.UTF-8 | en_US.UTF-8 | =c/postgres          +
           |          |          |             |             | postgres=CTc/postgres