adjacency matrix- since the edges are the relationship between two vertices ,the graph can be represented by a matrix,
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
If your graph is undirected, then its adjacency matrix will be symmetric. Faizan
explain bus incidence matrix.
parallel edges
Advantages are that you can see the arc lengths disadvantages some times it doesn't work because of insufficient vertices's or arcs.
An adjacency matrix is more suitable for representing dense graphs with many edges, while an adjacency list is better for sparse graphs with fewer edges. Use an adjacency matrix when the graph is dense and you need to quickly check for the presence of an edge between any two vertices.
An adjacency matrix is a 2D array that represents connections between nodes in a graph, with each cell indicating if there is an edge between two nodes. An adjacency list is a collection of linked lists or arrays that stores the neighbors of each node. The main difference is that an adjacency matrix is more space-efficient for dense graphs, while an adjacency list is more efficient for sparse graphs.
In graph theory, an adjacency list is a data structure that represents connections between vertices by storing a list of neighbors for each vertex. An adjacency matrix, on the other hand, is a 2D array that indicates whether there is an edge between two vertices. The main difference is that adjacency lists are more memory-efficient for sparse graphs, while adjacency matrices are better for dense graphs.
An adjacency matrix represents a graph as a 2D array where each cell indicates if there is an edge between two vertices. It is good for dense graphs but uses more memory. An adjacency list uses a list of linked lists or arrays to store edges for each vertex. It is better for sparse graphs and uses less memory.
Find directed graph that has the adjacency matrix Find directed graph that has the adjacency matrix
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
If your graph is undirected, then its adjacency matrix will be symmetric. Faizan
When representing a graph data structure, the adjacency list method stores connections between nodes as lists, making it efficient for sparse graphs. The matrix method uses a 2D array to represent connections, suitable for dense graphs but less memory-efficient.
Graph adjacency list and matrix are two ways to represent connections between nodes in a graph. An adjacency list stores each node's neighbors in a list, while an adjacency matrix uses a 2D array to represent connections between nodes. The adjacency list is more memory-efficient for sparse graphs with fewer connections, as it only stores information about existing connections. On the other hand, an adjacency matrix is more memory-efficient for dense graphs with many connections, as it stores information about all possible connections. In terms of efficiency, adjacency lists are better for operations like finding neighbors of a node or traversing the graph, as they only require checking the list of neighbors for that node. However, adjacency matrices are better for operations like checking if there is a connection between two nodes, as it can be done in constant time by accessing the corresponding entry in the matrix.
explain bus incidence matrix.
parallel edges
Adjacency matric is static implementation of Grah.It consist of M*M order matrix. the return type pf matrix is boolewn.If there is an edge b\w two vertices then we place 1 in the matrix i,j index.If there is no edge b\w two vertices then we place 0 in the matrix i,j index. thanks