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dc.contributor.authorBaeza Yates, Ricardo
dc.contributor.authorCases Muñoz, Rafel
dc.contributor.authorDiaz Cort, Josep
dc.contributor.authorMartínez Parra, Conrado
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.contributor.otherFacultat d'Informàtica de Barcelona
dc.identifier.citationBaeza, R., Cases, R., Diaz, J., Marínez, C. "On the average size of the intersection of binary trees". 1989.
dc.description.abstractThe average-case analysis of algorithms for binary search trees yields very different results from those obtained under the uniform distribution. The analysis itself is more complex and replaces algebraic equations by integral equations. In this work this analysis is carried out for the computation of the average size of the intersection of two binary trees. The development of this analysis involves Bessel functions that appear in the solutions of partial differential equations, and the result has an average size of $O(n^{2\sqrt 2 - 2} /\sqrt {\log n} )$, contrasting with the size $O(1)$ obtained when considering a uniform distribution.
dc.format.extent10 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Enginyeria del software
dc.subject.lcshTrees (Graph theory)
dc.titleOn the average size of the intersection of binary trees
dc.typeExternal research report
dc.subject.lemacArbres (Teoria de grafs)
dc.contributor.groupUniversitat Politècnica de Catalunya. ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorBaeza, R.; Cases, R.; Diaz, J.; Martínez, C.

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