Depth First Search (DFS) has been discussed in this article which uses adjacency list for the graph representation. In this article, adjacency matrix will be used to represent the graph.
Adjacency matrix representation: In adjacency matrix representation of a graph, the matrix mat of size n*n (where n is the number of vertices) will represent the edges of the graph where mat[i][j] = 1 represents that there is an edge between the vertices i and j while mat[i][i] = 0 represents that there is no edge between the vertices i and j.
Below is the adjcaency matrix representation of the graph shown in the above image:
0 1 2 3 4 0 0 1 1 1 1 1 1 0 0 0 0 2 1 0 0 0 0 3 1 0 0 0 0 4 1 0 0 0 0
Input: source = 0 Output: 0 1 3 2 Input: source = 0 Output: 0 1 2 3 4
- Create a matrix of size n*n where every element is 0 representing there is no edge in the graph.
- Now, for every edge of the graph between the vertices i and j set mat[i][j] = 1.
- After the adjacency matrix has been created and filled, call the recursive function for the source i.e. vertex 0 that will recursively call the same function for all the vertices adjacent to it.
- Also, keep an array to keep track of the visited vertices i.e. visited[i] = true represents that vertx i has been been visited before and the DFS function for some already visited node need not be called.
Below is the implementation of the above approach:
0 1 2 3 4
- Implementation of BFS using adjacency matrix
- Kruskal's Algorithm (Simple Implementation for Adjacency Matrix)
- Prim's Algorithm (Simple Implementation for Adjacency Matrix Representation)
- Add and Remove vertex in Adjacency Matrix representation of Graph
- Strassen’s Matrix Multiplication Algorithm | Implementation
- Minimum number of steps to convert a given matrix into Upper Hessenberg matrix
- Minimum steps required to convert the matrix into lower hessenberg matrix
- Minimum number of steps to convert a given matrix into Diagonally Dominant Matrix
- Check if matrix can be converted to another matrix by transposing square sub-matrices
- Circular Matrix (Construct a matrix with numbers 1 to m*n in spiral way)
- Program to check diagonal matrix and scalar matrix
- C++ program to Convert a Matrix to Sparse Matrix
- Check if it is possible to make the given matrix increasing matrix or not
- Program to convert given Matrix to a Diagonal Matrix
- Program to check if a matrix is Binary matrix or not
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