Minimum Height Trees
For a undirected graph with tree characteristics, we can choose any node as the root. The result graph is then a rooted tree. Among all possible rooted trees, those with minimum height is called minimum height trees (mhts). Given such a graph, write a function to find all the mhts and return a list of their root labels.
Format
The graph contains n nodes which is labeled from 0 to n - 1 . You'll be given the number and n a list of undirected edges (each edge is a pair of labels).
You can assume that no duplicate edges would appear in edges . Since all edges was undirected, is the same as and thus would not [0, 1] [1, 0] appear together in edges .
Example 1:
Given n = 4 ,edges = [[1, 0], [1, 2], [1, 3]]
0 | 1 / 2 3
Return[1]
Example 2:
Given n = 6 ,edges = [[0, 3], [1, 3], [2, 3], [4, 3], [5, 4]]
0 1 2 \ |/ 3 | 4 | 5
Return[3, 4]
https://leetcode.com/problems/minimum-height-trees/
Test instructions is the highest tree with any node as root.
Can be converted to the center of the longest path from the leaves to the leaves, the result may be only one or two.
Build the tree, BFS traversal, each round to remove all the leaf nodes, and finally left is the result.
Open a variable visited record the number of traversed points, if visited >= n-2 instructions to find the results.
1 /**2 * @param {number} n3 * @param {number[][]} edges4 * @return {number[]}5 */6 varFindminheighttrees =function(n, edges) {7 if(n = = 1)return[0];8 varresult = [], tree = {}, list = [], I, J, Curr, visited = 0;9 for(i = 0; i < edges.length; i++){TenCurr =Edges[i]; One if(!tree[curr[0]]) tree[curr[0]] =NewNode (curr[0]); A if(!tree[curr[1]]) tree[curr[1]] =NewNode (curr[1]); -Tree[curr[0]].neighbor.push (tree[curr[1]]); -Tree[curr[1]].neighbor.push (tree[curr[0]]); the } - for(Iinchtree) { - if(Tree[i].neighbor.length = = 1){ - List.push (tree[i].val); + } - } + BFS (list); A for(i = 0; i < list.length; i++){ at Result.push (List[i]); - } - returnresult; - - functionNode (val) { - This. val =Val; in This. Neighbor = []; - } to functionBFS (list) { + varLen =list.length, top, Topneighbor; - if(Visited >= n-2)return; the while(len--){ *visited++; $top =Tree[list.shift ()];Panax NotoginsengTopneighbor = top.neighbor[0]; - Deletenode (Topneighbor.neighbor, top.val); the if(topNeighbor.neighbor.length <= 1 && list.indexof (topneighbor.val) = = =-1){ + List.push (topneighbor.val); A } the DeleteTree[top.val]; + } - BFS (list); $ } $ functionDeletenode (arr, Val) { - for(vari = 0; i < arr.length; i++){ - if(Arr[i].val = = =val) { theArr.splice (i,1); - return;Wuyi } the } - } Wu};
[Leetcode] [JavaScript] Minimum Height Trees