- What is weighted undirected graph?
- Can undirected graphs have weights?
- How do you represent an undirected weighted graph?
- What is meant by weighted graph?
What is weighted undirected graph?
The connecting line between two nodes is called an edge. If the edges between the nodes are undirected, the graph is called an undirected graph. A weighted graph is a graph in which a number (the weight) is assigned to each edge. A graph is acyclic if it has no loop.
Can undirected graphs have weights?
Directed and undirected graphs can also be weighted. A weighted directed graph is the same as a directed graph except that each edge has a weight or cost associated with it.
How do you represent an undirected weighted graph?
Adjacency matrix representation
To store weighted graph using adjacency matrix form, we call the matrix as cost matrix. Here each cell at position M[i, j] is holding the weight from edge i to j. If the edge is not present, then it will be infinity. For same node, it will be 0.
What is meant by weighted graph?
A weighted graph is a graph in which each branch is given a numerical weight. A weighted graph is therefore a special type of labeled graph in which the labels are numbers (which are usually taken to be positive).