The Jamaican Dog "Hey mon, this dog looks like it is covered with a carpet." Komondor dogs are not your average looking dog. As puppies, this breed barely sheds. When they are full-grown, Komondor dogs completely stop shedding because their hair forms into dreadlocks. Owners have to separate the dreadlocks to prevent a matted mess. They have the heaviest coats out of all dogs. Even with all that weight from the dreadlocks, Komondors are still quick and agile.