English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study multiway asymmetric tries. Our main interest is to investigate the depth of a leaf and the external path length, however we also formulate and solve a more general problem. We consider a class of properties called additive properties. This class is specified by a common recurrence relation. We give an exact solution of the recurrence, and present an asymptotic approximation. In particular, we derive all (factorial) moments of the depth of a leaf and the external path length. In addition, we solve an open problem of Paige and Tarjan about the average case complexity of the improved lexicographical sorting. These results extend previous analyses by Knuth [12], Flajolet and Sedgewick [6], Jacquet and Regnier [10], and Kirschenhofer and Prodinger [11].

Average complexity of additive properties for multiway tries: A unified approach