BOUNDING RIGHT-ARM ROTATION DISTANCES

SEAN CLEARY, JENNIFER TABACK
2007 International journal of algebra and computation  
Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to transform one tree to the other. We describe several types of rotation distance, and provide upper bounds on distances between trees with a fixed number of nodes with respect to each type. These bounds are obtained by relating each restricted rotation distance to the word length of elements of Thompson's group F with respect to
more » ... rent generating sets, including both finite and infinite generating sets.
doi:10.1142/s0218196707003664 fatcat:zkedag5c6bh53amsynqperog4e