G. Frege wrote: > On Tue, 11 Mar 2008 16:51:03 +0100, G. Frege <nomail@invalid> wrote: > > Oopos... typo/thinko... > >>> According to it, the perimeter of a triangle is a tree... >>> which, of course, it is not. >>> >> Wait a second. If the nodes of your triangle were, say a, b, c then >> (say) a, b would be connected by more than one path: >> >> p_1 = ((a,b)) >> >> p_2 = ((a,b), (b,c), (c,a), (a,b)) >> > No? > > > F. >
a and b are connected by ((a,b)) and ((a,c),(c,b)), two simple paths, and thus there exists a cycle.