Hi, Dylan.
<<
Consider the triangulations of a pentagon. There a 5 triangulations, and if you
connect two triangulations that share a triangle, you get a 5-cycle.
>>
I'm pretty sure you mean the triangulations that don't add a vertex, right?
In other news, how are you? Any chance of my gettting to see you -- and possibly meet Ken -- when you're in town this month?
Best regards,
Dan