}~UnionFind() {//析构函数delete[] parents;delete[] ranks; }#if0//递归实现路径压缩intfindParent(intvalue) { assert(value< capacity_ && value >=0);if(parents[value] !=value) { parents[value]=findParent(parents[value]); }returnparents[value]; }#elif0//迭代实现路径压缩1intfindParent(...
n代表顶点数 原因是依据须要缩减了树的高度,也叫压缩路径(Path compression),名字非常高深,只是事实上不难理解,简单来说就是每次查找一个节点的时候,都把这一路径中的全部节点都赋予根节点作为路径。 原文没指出的地方: 也由于须要压缩,所以初始化的时候注意,不能如前面简单有用Union Find的算法那样初始化全部顶点...
Maintaining a balance tree, will reduce complexity of union and find function from N to log2N. Can we improve more ? Idea: Union with path compression : While computing the root of A, set each i to point to its grandparent (thereby halving the path length), where i is the node which...
operations is the cost of m find operations, that is m( lgn +1) (n+mlogn) There do exist programs requiring (n+mlogn) steps. Decreasing the Complexity by Path Compression x w v v w x Path compressed cFind does twice as many link operations as the find does for a given no...
Lock-free parallel disjoint set data structure (aka UNION-FIND) with path compression and union by rank - wjakob/dset
并查集(Union Find) ◼ 并查集也叫作不相交集合(Disjoint Set) ◼ 并查集有2个核心操作 1.查找(Find):查找元素所在的集合(这里的集合并不是特指Set这种数据结构,是指广义的数据集合) 2.合并(Union):将两个元素所在的集合合并为一个集合 ◼ 有2种常见的实现思路 ...
Of the known implementations supporting find-min, insert, and decrease in constant time in the worst case, relaxed ... H Kaplan,N Shafrir,RE Tarjan 被引量: 94发表: 2002年 Top-Down Analysis of Path Compression We present a new analysis of the worst-case cost of path compression, which ...
Union Find Princeton's lecture note on Union FindinAlgorithms and Data StructuresIt is a well organized note with clear illustration describing from the naive QuickFind to the one with Weighting and Path compression. With Weighting and Path compression, The algorithm runs in ...
This paper presents a linear-time algorithm for the special case of the disjoint set union problem in which the structure of the unions (defined by a “union tree”) is known in advance. The algorithm executes an intermixed sequence of m union and find operations on n elements in O(m+n...
Time complexity: So, the approach above cannot decrease the union operation time complexity, rather, it increases the find operation time complexity. If we have a closer look, we can find the reason why quick-union approach is not performing well is because the height of the tree could be ...