Path length and height in asymmetric binary branching trees
This work is inspired by a paper by Mandelbrot and Frame, in which they describe properties of symmetric binary branching trees. We study a variation of their trees in which non-uniform scaling is applied, focusing on geometric properties such as path length and tree height. We also discuss the computer implementation via Mathematica.
Missouri Journal of Mathematical Sciences
O'Hanlon, Amelia; Howard, Patricia; and Brown, David A., "Path length and height in asymmetric binary branching trees" (2004). Faculty Articles Indexed in Scopus. 2046.