[bike42]

Here's the definitive answer to the question about whether invisible dog fences are permitted in TV, and whether they are considered to be "restraint" (i.e., same as having your dog on a leash) -- from Diane Tucker, in the "Our Place" column 12/22/11:

"“Are invisible fences allowed?” The answer is yes. While the deed restrictions do not allow fences, the invisible fence (also called a pet fence) is underground and is considered a pet restraint."