How to remove a vertex from a graph?
The above method is a public member function of the class Graph which removes an existing vertex from the graph by shifting the rows to the left and shifting the columns up to replace the row and column values of that vertex with the next vertex and then decreases the number of vertices by 1 in the graph.
How to add edges between two vertices in a graph?
Adding Edges between Vertices in the Graph: To add edges between two existing vertices such as vertex ‘x’ and vertex ‘y’ then the elements g [x] [y] and g [y] [x] of the adjacency matrix will be assigned to 1, depicting that there is an edge between vertex ‘x’ and vertex ‘y’. cout << “Vertex does not exists!”;
Can a vertex descriptor be invalidated in a graph?
If the VertexList template parameter of the adjacency_list was vecS, then all vertex descriptors, edge descriptors, and iterators for the graph are invalidated by this operation.
How to remove a vertex from an adjacency list?
After adding the vertex, the adjacency list changes to: Removing a Vertex in the Graph: To delete a vertex in the graph, iterate through the list of each vertex if an edge is present or not. If the edge is present, then delete the vertex in the same way as delete is performed in a linked list.
How to check if a graph is connected after removing an edge?
A simpler solution is to remove the edge, check if graph remains connect after removal or not, finally add the edge back. We can always find if an undirected is connected or not by finding all reachable vertices from any vertex. If count of reachable vertices is equal to number of vertices in graph, then the graph is connected else not.
How to find all reachable vertices in a graph?
If count of reachable vertices is equal to number of vertices in graph, then the graph is connected else not. We can find all reachable vertices either using BFS or DFS. Below are complete steps. 2) Find all reachable vertices from any vertex.