1. HDMI --This is one of the most popular connectors now a days.
If you see the symbol above, that is an HDMI.
2. DisplayPort : Some computers will have DisplayPort interface. So if you see a symbol with a "D" and two "+" signs its a displayport.
3. Mini Displayport. There is also a connector called mini displayport.
A firewire port would also look like the same and they are mostly compatible.
4. DVI Single link and double link.
5. VGA. This is our plain old VGA.
If your computer got a display interface different from your monitor, you may be able to buy a convertor cable. ie DVI to VGA for instance.