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.…
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…
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.…
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…
