منابع مشابه
Bounding Right-Arm Rotation Distances
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 ...
متن کامل2 0 Ju n 20 05 BOUNDING RIGHT - ARM ROTATION DISTANCES
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 ...
متن کامل1 1 A pr 2 00 6 BOUNDING RIGHT - ARM ROTATION DISTANCES
Rotation distance measures the difference in shape between binary trees of the same size by counting the minimum number of rotations needed to transform one tree to the other. We describe several types of rotation distance where restrictions are put on the locations where rotations are permitted, and provide upper bounds on distances between trees with a fixed number of nodes with respect to se...
متن کاملRefined upper bounds for right-arm rotation distances
Rotation distances measure the difference in shape in rooted binary trees. We construct sharp bounds on maximal right-arm rotation distance and restricted right-arm rotation distance for trees of size n. These bounds sharpen the results of Cleary and Taback and incorporate the lengths of the right side of the trees to improve the bounds. c © 2007 Elsevier B.V. All rights reserved.
متن کاملBounding restricted rotation distance
Restricted rotation distance between pairs of rooted binary trees quantifies differences in tree shape. Cleary exhibited a linear upper bound of 12n for the restricted rotation distance between two trees with n interior nodes, and a lower bound of (n − 1)/3 if the two trees satisfy a reduction condition. We obtain a significantly improved sharp upper bound of 4n− 8 for restricted rotation dista...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2007
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196707003664