Weighted graph in data structure with example

1. What is weighted graph example?
2. What is a weighted graph in data structure?
3. What is graph in data structure with example?
4. How do you write a weighted graph?

What is weighted graph example?

A weighted graph is a graph such that each edge is labeled with a number, called the weight of that edge. For example, the vertices of the graph above may represent certain towns in India, and the edges may represent roads between the towns, with their separation distances marked.

What is a weighted graph in data structure?

Weighted graphs are the graph data structures in which the edges are given some weight or value based on the type of graph we are representing. Unweighted graphs are the graph data structure which are not associated with any weight or value.

What is graph in data structure with example?

A graph is a non-linear kind of data structure made up of nodes or vertices and edges. The edges connect any two nodes in the graph, and the nodes are also known as vertices. This graph has a set of vertices V= 1,2,3,4,5 and a set of edges E= (1,2),(1,3),(2,3),(2,4),(2,5),(3,5),(4,50 .

How do you write a weighted graph?

It is often necessary to associate weights or other values with the edges of a graph. Such a “weighted” or “edge-labeled” graph can be defined as a triple G = (E,V,w) where w : E → eVal is a function mapping edges or directed edges to their values, and eVal is the set (type) of possible values.