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/

Zendy Plus

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

Zendy Tools

Zendy Open

In this work we analyze bucket increasing tree families. We introduce twosimple stochastic growth processes, generating random bucket increasing treesof size $n$, complementing the earlier result of Mahmoud and Smythe for bucketrecursive trees. On the combinatorial side, we define multilabelledgeneralizations of the tree families $d$-ary increasing trees and generalizedplane-oriented recursive trees. Additionally, we introduce a clustering processfor ordinary increasing trees and relate it to bucket increasing trees. Wediscuss in detail the bucket size two and present a bijection between suchbucket increasing tree families and certain families of graphs calledincreasing diamonds, providing an explanation for phenomena observed by Bodiniet al.

On bucket increasing trees, clustered increasing trees and increasing diamonds