bellabee, yes i know that there are 4 slots per year dedicated to number puzzles, and usually these are "pure" number puzzles with no verbal aspect. (Sometimes, however, they do have). Similarly, with the non-number puzzles, there are often puzzles requiring some sort of "mathematical" aspect, though hardly of the sort to send one scurrying to the bomb shelters :-) "Alphanumberics by Zag from years ago is an obvious example, also a puzzle based on Eratosthenes' sieve. And one on the Fibonacci sequence - none of them "number" puzzles.
Lots of people don't like the number puzzles, I happen to, despite having no mathematical background whatever. I do, on the other hand, know mathematicians who detest them. You don't need to be some sort of "maths freak" to solve them.
Why on earth would I profess to know less about graph theory than I do? Believe me I like to show off as much as any one else lol.
I was going to say, before I accidentally posted prematurely, that application of graph theory for the solving of the puzzle might have required working out for oneself, for example, the number of connecting points, which of course one didn't. But that observation is based on common sense, not any "inner" knowledge (!)