Let's break this down:
Non-restrictive Clause: This is a clause that adds extra information but is not essential to the meaning of the sentence. It's set off by commas.
Example:
* "My dog, called Sparky, loves to play fetch." (The information "called Sparky" is extra and the sentence makes sense without it.)
Restrictive Clause: This is a clause that is essential to the meaning of the sentence and is not set off by commas.
Example:
* "The dog called Sparky loves to play fetch." (Without "called Sparky," we wouldn't know which dog we're talking about.)
Here are some more examples:
* No comma: "The book is called 'The Great Gatsby.'"
* Comma: "The book, called 'The Great Gatsby,' is a classic." (The clause "called 'The Great Gatsby'" provides extra information.)
In general, if you can remove the phrase "called [name]" and the sentence still makes sense, then you need a comma. If you can't, then you don't.