Do you capitalize names of problems?

According to chatgpt

Short answer: yes, but only partially—and it depends on context.

Standard convention in theory/algorithms papers

Most papers use:

Capitalize the problem name

Keep “problem” lowercase

Examples:

the Feedback Vertex Set problem

the Maximum Flow problem

the Vertex Cover problem

When to capitalize everything

You may see:

Feedback Vertex Set Problem

This is used when:

Formally defining the problem, or

Treating it like a named object

But I don't see for instance vector scheduling problem capitalized.