A calculational approach to path-based properties of the Eisenstein–Stern and Stern–Brocot trees via matrix algebra

Hdl Handle:
http://hdl.handle.net/10149/596007
Title:
A calculational approach to path-based properties of the Eisenstein–Stern and Stern–Brocot trees via matrix algebra
Authors:
Ferreira, J. F. (João); Mendes, A. (Alexandra)
Affiliation:
Teesside University, School of Computing
Citation:
Ferreira, J. F., Mendes, A. (2015) 'A calculational approach to path-based properties of the Eisenstein–Stern and Stern–Brocot trees via matrix algebra' Journal of Logical and Algebraic Methods in Programming; Available online 2 December 2015
Publisher:
Elsevier
Journal:
Journal of Logical and Algebraic Methods in Programming
Issue Date:
2-Dec-2015
URI:
http://hdl.handle.net/10149/596007
DOI:
10.1016/j.jlamp.2015.11.004
Additional Links:
http://www.sciencedirect.com/science/article/pii/S2352220815001418
Type:
Article
Language:
en
Keywords:
algebra; number theory; rational number; calculational method; palindrome; sierpinski; Stern–Brocot tree; Calkin–Wilf tree; Eisenstein–Stern tree; Euclid’s algorithm; Lucas's theorem
Rights:
Following 12 month embargo author can archive post-print (ie final draft post-refereeing). Creative Commons Attribution Non-Commercial No Derivatives License. For full details see http://www.sherpa.ac.uk/romeo [Accessed: 10/02/2016]

Full metadata record

DC FieldValue Language
dc.contributor.authorFerreira, J. F. (João)en
dc.contributor.authorMendes, A. (Alexandra)en
dc.date.accessioned2016-02-10T11:13:50Zen
dc.date.available2016-02-10T11:13:50Zen
dc.date.issued2015-12-02en
dc.identifier.doi10.1016/j.jlamp.2015.11.004en
dc.identifier.urihttp://hdl.handle.net/10149/596007en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S2352220815001418en
dc.rightsFollowing 12 month embargo author can archive post-print (ie final draft post-refereeing). Creative Commons Attribution Non-Commercial No Derivatives License. For full details see http://www.sherpa.ac.uk/romeo [Accessed: 10/02/2016]en
dc.subjectalgebraen
dc.subjectnumber theoryen
dc.subjectrational numberen
dc.subjectcalculational methoden
dc.subjectpalindromeen
dc.subjectsierpinskien
dc.subjectStern–Brocot treeen
dc.subjectCalkin–Wilf treeen
dc.subjectEisenstein–Stern treeen
dc.subjectEuclid’s algorithmen
dc.subjectLucas's theoremen
dc.titleA calculational approach to path-based properties of the Eisenstein–Stern and Stern–Brocot trees via matrix algebraen
dc.typeArticleen
dc.contributor.departmentTeesside University, School of Computingen
dc.identifier.journalJournal of Logical and Algebraic Methods in Programmingen
or.citation.harvardFerreira, J. F., Mendes, A. (2015) 'A calculational approach to path-based properties of the Eisenstein–Stern and Stern–Brocot trees via matrix algebra' Journal of Logical and Algebraic Methods in Programming; Available online 2 December 2015en
dc.date.accepted2015-11-23en
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