In computer science, a fusion tree is a type of tree data structure that implements an associative array on w -bit integers on a finite universe, where each of the input integers has size less than 2 w and is non-negative.

2019年10月25日 · Fusion Tree，中文译作融合树，是一种亚log的数据结构，与1993年由Michael L.Fredman和Dan E.Willard提出。 用途： O ( \log n/ \log w+ \log w ) 时间复杂度支持插入，删除，前驱，后继，min，max，以及用于整数排序。 信息论断言对 n 个数的排序在最坏情况下需要 n\log n 次比较，不过对这个界我们还需要一些研究。 有人证明了任意unit cost RAM算法，其中只包含加法，减法，乘法，和0比较（但是不包含除法和位运算）最坏情况下需要 \Omega (n\log …

Fusion Tree，中文译作融合树，是一种亚log的数据结构，与1993年由Michael L.Fredman和Dan E.Willard提出。 用途： O(logn/logw+ logw) 时间复杂度支持插入，删除，前驱，后继，min，max，以及用于整数排序。 信息论断言对 n 个数的排序在最坏情况下需要 nlogn 次比较，不过对这个界我们还需要一些研究。 有人证明了任意unit cost RAM算法，其中只包含加法，减法，乘法，和0比较（但是不包含除法和位运算）最坏情况下需要 Ω(nlogn) 的时间去对 n 个数 …

We continue our analysis of integer data structures, focusing this lecture on fusion trees. This structure employs some neat bit tricks and word-level parallelism. In particular, we discuss the following techniques necessary to understand the workings of a …

At a high level, the sardine tree is a B-tree augmented with extra information to support fast rank queries. The branching factor is Θ(w / s), the number of keys we can fit into a single machine word. We use a parallel rank operation at each node to determine which keys to check and which child to descend into.

2023年12月24日 · [Ynoi2010] Fusion tree 题解 题意：给你一棵点带权的无根树，你需要支持以下操作： 给一个点的所有邻居的权值加一（以下称该操作为邻居加）；

2016年2月28日 · The fusion tree data structure is specifically designed to store integers that fit into a single machine word. As a result, on a 32-bit machine, you'd use the fusion tree to store integers of up to 32 bits, and on a 64-bit machine you'd …

2024年12月3日 · 融合树（Fusion Tree）是一种创新的数据结构，它通过在每个节点中存储多个键和子节点指针，显著提高了数据查找和插入操作的效率。 与传统的树结构（如二叉树、B树）相比，融合树利用其多分支特性，使得每次查询能够覆盖更多的数据范围，从而降低树的高度 ...

This repository contains an implementation of a Fusion Tree that can perform predecessor queries using a constant number of arithmetic operations of a Big Integer class. In this README file, we will explain the public functions and operators needed from the big integer class, in case the reader wants to use another or implement her own.

Fusion tree is a tree data structure that implements associative array in a known universe size. Fusion trees are used to solve predecessor and successor problem. We have covered sketch, parallel comparison, predecessor and successor and insert operations in O(log N) time and O(N) space complexity