deliberate damage or destruction of property.
Merriam-Webster Online Dictionary
vandalism (noun) willful or malicious destruction or defacement of public or private property
vandalism (Wikipedia)
Vandalism is the action involving deliberate destruction of or damage to public or private property.
The term includes property damage, such as graffiti and defacement directed towards any property without permission of the owner. The term finds its roots in an Enlightenment view that the Germanic Vandals were a uniquely destructive people.