From Homestar Runner Wiki
Characters (usually Homestar Runner) occasionally refer to other people as their dog, which is slang for "friend".
- Email myths & legends — As Homestar was describing his first encounter with the Bear Holding a Shark, he began his story by saying "I was in the woods, walking my dog, Pom Pom". In this instance, Homestar is referring to his friend literally as a dog (or, rather, mistaking him for one).
- Email alternate universe — Vector Strong Bad refers to Stinkoman as "MY DOGE" (pronounced doh-zh).
- @StrongBadActual — Strong Bad posts "HAVE A FISH MY DOGE." with a GIF of Vector Strong Bad as a penguin.