Triggering material would be anything that discusses death, abuse, bad language, self injury, anything that may upset someone. By using a trigger icon on a thread that "may" be triggering is always the safest way to go.
Some members get easily upset if they start reading a thread or post that has triggering information in it and they've not been warned by a trigger icon.
Here are a couple of links for you regarding the use of the trigger icon:
http://forums.psychcentral.com/rules...gger-icon.html
What is a Trigger? | Psych Central
I hope that was helpful for you!