Consider a directed graph given in below, DFS of the below graph is 1 2 4 6 3 5 7 8. In below diagram if DFS is applied on this graph a tree is obtained which is connected using green edges.
Tree Edge: It is a edge which is present in tree obtained after applying DFS on the graph. All the Green edges are tree edges.
Forward Edge: It is an edge (u, v) such that v is descendant but not part of the DFS tree. Edge from 1 to 8 is a forward edge.
Back edge: It is an edge (u, v) such that v is ancestor of edge u but not part of DFS tree. Edge from 6 to 2 is a back edge. Presence of back edge indicates a cycle in directed graph.
Cross Edge: It is a edge which connects two node such that they do not have any ancestor and a descendant relationship between them. Edge from node 5 to 4 is cross edge.
- Maximum Possible Edge Disjoint Spanning Tree From a Complete Graph
- Maximum number of edges to be added to a tree so that it stays a Bipartite graph
- Ways to Remove Edges from a Complete Graph to make Odd Edges
- Remove all outgoing edges except edge with minimum weight
- Edge Coloring of a Graph
- Program to Calculate the Edge Cover of a Graph
- Check if removing a given edge disconnects a graph
- Shortest Path in a weighted Graph where weight of an edge is 1 or 2
- Maximize number of nodes which are not part of any edge in a Graph
- Maximum number of edges in Bipartite graph
- Count number of edges in an undirected graph
- Minimum number of edges between two vertices of a Graph
- Minimum number of edges between two vertices of a graph using DFS
- All vertex pairs connected with exactly k edges in a graph
- Number of Simple Graph with N Vertices and M Edges
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Improved By : Sektor_jr