Consider a directed graph G of N nodes and all edges (u→v) such that u < v. It is clear that this graph doesn't contain any cycles. Your task is to find the lexicographically largest topological sort of the graph after removing a given list of edges.…
今天讲了topological sort 问题: 判环:记录入队的点数,若<n则有环,可证: 算法:o(n):queue or  stack,而不是o(n^2)枚举 #. 关系运算图(vijos1094) 描述 提交 自定义测试 题目描述 给出一有向图,图中每条边都被标上了关系运算符‘<’,‘>’,‘=’.现在要给图中每个顶点标上一个大于等于0小于等于k的某个整数使所有边上的符号得到满足.若存在这样的k,则求最小的k,若任何k都无法满足则输出NO. 例如下表中最小的k为2. 结点1>…
A topological sortof a dag G  is a linear ordering of all its vertices such that if G contains anedge(u,v) then u appears before in the ordering. (If the graph contains a cycle,then no linear ordering is possible.) package element_graph; import java.…
Graph 拓扑排序(Topological Sort) 假设一个应用场景:你用 C 编写了一个爬虫工具,其中有很多自定义的库:queue.c.queue.h.stack.c.stack.h.heap.c.heap.h 等等,且这些文件没有其他自定义库的依赖:另外还有一些基于上述自定义库的库:bfs.c.bfs.h.dfs.c.dfs.h.dijkstra.c.dijkstra.h.tcpSocket.c.tcpSocket.h 等等:基于以上的库,你开发了一些爬虫程序 scrawlYoutub…
Definition: a topological sort of a DAG G is a sort such that for all edge (i,j) in G, i precedes j. Then we have following corollaries: A sort is a topological sort of a DAG G iff for all i, j such that there is a path from i to j, i precedes j in t…
Write a program to find the topological order in a digraph. Format of functions: bool TopSort( LGraph Graph, Vertex TopOrder[] ); where LGraph is defined as the following: typedef struct AdjVNode *PtrToAdjVNode; struct AdjVNode{ Vertex AdjV; PtrToAdj…
Topological sort is an important application of DFS in directed acyclic graphs (DAG). For each edge (u, v) from node u to node v in the graph, u must appear before v in the topological sort. Topological sort has many interesting applications. One of…
一.深度优先搜索 它的定义是:递归探索图,必要时要回溯,同时避免重复. 关于深度优先搜索的伪代码如下: 左边DFS-Visit(V, Adj.s)是只实现visit所有连接某个特定点(例如s)的其他点.右边是实现整张图的visit,即DFS(v, Adj).DFS-Visit是DFS的重要组成模块. 用上图右侧的实例图解释下运作过程: 先从a出发,DFS-Visit到b上. 递归到b上,从b出发,DFS-Visit到e上. 递归到e上,从e出发,DFS-Visit到d上. 递归到d上,从d出发,…
There is a new alien language which uses the latin alphabet. However, the order among letters are unknown to you. You receive a list of words from the dictionary, where words are sorted lexicographically by the rules of this new language. Derive the…
Input t – the number of numbers in list, then t lines follow [t <= 10^6].  Each line contains one integer: N [0 <= N <= 10^6] Output Output given numbers in non decreasing order. Example Input: 5 5 3 6 7 1 Output: 1 3 5 6 7 大数据的排序,输入和输出. 一開始使用了co…