Final answer:
To find the parent of a vertex in an adjacency matrix, identify the vertex's corresponding column and look for rows with non-zero values, indicating parent vertices. This applies to directed graphs, as undirected graphs have bidirectional edges, making the term 'parent' not strictly applicable.
Step-by-step explanation:
The question, "How to find parent in adjacency matrix?" relates to graph theory in mathematics, which is often covered in high school or early college curriculum.
An adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph. For a directed graph, if you want to find the parent of a vertex, you need to look at its corresponding column in the matrix.
- Identify the vertex for which you want to find the parent.
- Look at the column corresponding to that vertex. The indices of rows that contain a non-zero value (such as 1 in a binary adjacency matrix) indicate the vertices that are parents to the vertex in question.
- Note that in the case of an undirected graph, adjacency matrices are symmetric, so the concept of 'parent' does not strictly apply since the edges are bidirectional.
If multiple rows contain non-zero values in the column for a vertex, this means that the vertex has multiple parents within a directed graph structure.