Colijn-Plazzotta rank

Mareike Fischer, Lina Herbst, Sophie Johanna Kersting, Annemarie Luise Kühn and Kristina Wicke
Additional contact information
Mareike Fischer: University of Greifswald, Institute of Mathematics and Computer Science
Lina Herbst: Department of English and American Studies Friedrich Schiller University Jena
Sophie Johanna Kersting: University of Greifswald, Institute of Mathematics and Computer Science
Annemarie Luise Kühn: University of Greifswald, Institute of Mathematics and Computer Science
Kristina Wicke: New Jersey Institute of Technology, Department of Mathematical Sciences

Chapter Chapter 21 in Tree Balance Indices, 2023, pp 241-247 from Springer

Abstract: Abstract The Colijn-Plazotta (CP) rank or CP labeling induces a bijective map between the rooted binary trees and the positive integers [26, 127]. While Colijn and Plazzotta [26] originally developed it in order to define metrics on tree shapes, Rosenberg [127] found that it could also be used to measure the balance of a binary tree. Intuitively, this is due to the fact that the CP labeling induces a ranking which orders the trees according to increasing symmetry (as the CP rank of a tree is small if its two maximal pending subtrees have a small and similar CP rank).

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-39800-1_21

Ordering information: This item can be ordered from
http://www.springer.com/9783031398001

DOI: 10.1007/978-3-031-39800-1_21

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().