yum install tightvnc-server
vncserver

You will be asked for vncpasswd 
This is saved differently from your Unix password. Can be made different.
Depending on your account, the vncserver will listen to access at port 690n
for access and create destop with that account.

Remember the :n (display number).  You need to enter that right after the
hostname in most vncviewer.

You need to allow outside access with the followign account.
firewall-cmd add-service=vnc-server

not just yum install vnc-server
which seem to missing some basic script such as vncserver and vncpaswd
It will complain those command not found.

It installs tigervnc-server-minimal-1.1.0-3.fc16.x86_64.rpm

> sestatus

SELinux status: enabled
SELinuxfs mount: /selinux
Current mode: enforcing
Mode from config file: enforcing
Policy version: 24
Policy from config file: targeted

> setsebool -P sshd_forward_ports 1

http://minhtech.com/linux/fedora-linux-install-configure-vnc-server/