* Just your name: This is the simplest and most common. Your degree doesn't need to be part of your signature.
* Your name, followed by a relevant credential (if appropriate): For example, if you're applying for a job that specifically looks for science graduates, you might add "BSc" after your name. This would look like "John Doe, BSc."
* Your name, with double major listed (informal): In very informal settings, you might add something like "(BSc, Biology & Chemistry)" next to your signature. This is not suitable for formal documents.
* Never include your degree on your signature: Your degree is a credential for documents, applications, and resumes; it's rarely put on a signature.
In short, stick to just your name for almost all situations. Including your degree in your signature is generally unnecessary and can look unprofessional.