To stop Auto-discovery of Other networked printers on a computer running Ubuntu

sudo nano /etc/cups/cups-browsed.conf

# Which protocols will we use to discover printers on the network?
# Can use DNSSD and/or CUPS and/or LDAP, or 'none' for neither.
BrowseRemoteProtocols none

sudo service cups restart 
sudo service cups statusCode language: PHP (php)

To stop broadcasting-This computers printer on the network

sudo nano /etc/cups/cups-browsed.conf

# Which protocols will we use to broadcast shared local printers to the network?
# Can use DNSSD and/or CUPS, or 'none' for neither.
# Only CUPS is actually supported, as DNSSD is done by CUPS itself (we ignore DNSSD in this directive).
BrowseLocalProtocols none

sudo service cups restart 
sudo service cups statusCode language: PHP (php)

AVAHI Daemon

In current version of ubuntu, zeroconf / bonjour protocol based autodetetction of printers and network devices takes place. this is handled by AVAHI daemon.

avahi-browse -a | grep Printer

it is NOT a good idea to disable the AVAHI daemon.

cups-browsed based options

This may not work on versions 17 / 18 / 19 because apparently the cups browserd service is not being used anymore

sudo systemctl stop cups-browsed
sudo systemctl disable cups-browsed