English

Priority Queue Based on Multilevel Prefix Tree

Data Structures and Algorithms 2007-08-23 v1

Abstract

Tree structures are very often used data structures. Among ordered types of trees there are many variants whose basic operations such as insert, delete, search, delete-min are characterized by logarithmic time complexity. In the article I am going to present the structure whose time complexity for each of the above operations is O(MK+K)O(\frac{M}{K} + K), where M is the size of data type and K is constant properly matching the size of data type. Properly matched K will make the structure function as a very effective Priority Queue. The structure size linearly depends on the number and size of elements. PTrie is a clever combination of the idea of prefix tree -- Trie, structure of logarithmic time complexity for insert and remove operations, doubly linked list and queues.

Keywords

Cite

@article{arxiv.0708.2936,
  title  = {Priority Queue Based on Multilevel Prefix Tree},
  author = {David S. Planeta},
  journal= {arXiv preprint arXiv:0708.2936},
  year   = {2007}
}
R2 v1 2026-06-21T09:09:31.577Z