can someone please explain what path width is?
Something to do with Graphs (the ones with nodes and paths, not the ones with x and y axes). Sorry I don't know any more than that.
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
Can you explain the context? For example, paths are both involved in graph theory and calculus, as well as a few other fields of math. They all mean different things however, so we need some more background as to what you're doing.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."