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Level Number Sequences for Binary Trees

Lookup NU author(s): Emeritus Professor Isi Mitrani

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Abstract

Binary trees occur frequently in the ananlysis of computer algorithms and in such cases are usually only interested in the number of nodes at each level. We call a sequence of numbers which denotes the number of nodes at each level a ""level number sequence"". In this paper we derive upper and lower bounds for the enumeration of such level number sequences for binary trees with n nodes, and we also examine the properties of some restricted level number sequences.


Publication metadata

Author(s): Clowes JS, Mitrani I, Wilson LB

Publication type: Report

Publication status: Published

Series Title: Computing Laboratory Technical Report Series

Year: 1977

Pages: 28

Report Number: 112

Institution: Computing Laboratory, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/112.pdf


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