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15

IJAC
2007

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Bounding Right-Arm Rotation Distances

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Bounding Right-Arm Rotation Distances

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Abstract. 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 diﬀerent generating sets, including both ﬁnite and inﬁnite generating sets.

Sean Cleary, Jennifer Taback

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Binary Trees | IJAC 2007 | Minimum Number | Rotation Distance |

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Added	14 Dec 2010
Updated	14 Dec 2010
Type	Journal
Year	2007
Where	IJAC
Authors	Sean Cleary, Jennifer Taback

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