2010-03-01, English, Article, Journal or magazine article edition: On the rotation distance between binary trees. Dehornoy, Patrick

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2010 March 1
Language
  • English

Edition details

Title
  • On the rotation distance between binary trees.
Appears In
  • Advances in Mathematics, v.223, no.4, 2010 March 1, p.1316(40) (ISSN: 0001-8708)
Author
  • Dehornoy, Patrick
Published
  • Elsevier B.V., 2010 March 1
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.aim.2009.09.016 Byline: Patrick Dehornoy Keywords: Binary tree; Rotation distance; Triangulations; Flip; Thompson's group Abstract: We develop combinatorial methods for establishing lower bounds on the rotation distance between binary trees, i.e., equivalently, on the flip distance between triangulations of a polygon. These methods lead to sharp estimates for certain particular pairs of trees. As an application, we prove that, for each n, there exist size n trees at distance 2n-O(n), i.e., the diameter of the nth associahedron has at least this value. Author Affiliation: Laboratoire de Mathematiques Nicolas Oresme, Universite de Caen, 14032 Caen, France Article History: Received 9 February 2009; Accepted 10 September 2009 Article Note: (miscellaneous) Communicated by Andrei Zelevinsky
Terms of Use
  • COPYRIGHT 2010 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 216857946

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