## Can you have an undirected weighted 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.

## How do you represent a weighted undirected graph?

A weighted graph refers to one where weights are assigned to each edge. Weighted graphs can be represented in two ways: Directed graphs where the edges have arrows that show path direction. Undirected graphs where edges are bi-directional and have no arrows.

**How do you find the edge of an undirected graph?**

In an undirected graph (excluding multigraphs), the answer is n*(n-1)/2. In a directed graph an edge may occur in both directions between two nodes, then the answer is n*(n-1). Show activity on this post.

### How do you find the edge weight of a graph?

The weight w(E) of an edge E in a multigraph G is the sum of the degrees of its end vertices; and if G is a pseudograph and E is a loop, then w(E) is defined as twice the degree of its unique end vertex. The weight w(G) of a pseudograph G is defined as min{w(E); EG}.

### What are edge weights?

Edge Weights. Both Directed and Undirected Edges may be WEIGHTED or UNWEIGHTED. A WEIGHTED EDGE is like a tollway; it costs a certain amount to travel along that edge in either direction. An UNWEIGHTED EDGE, on the other hand, is like a freeway. It costs nothing to travel along that edge.

**Can an undirected graph have no edges?**

Yes. The simplest such graph is just two vertices (no edges).

#### What is 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 edge weight in a graph?

The weight of an edge can represent: Cost or distance = the amount of effort needed to travel from one place to another. Capacity = the maximim amount of flow that can be transported from one place to another.

**What is an edge weight in graph theory?**

The weight of an edge is often referred to as the “cost” of the edge. In applications, the weight may be a measure of the length of a route, the capacity of a line, the energy required to move between locations along a route, etc.

## What are edges in undirected graph?

Undirected graphs have edges that do not have a direction. The edges indicate a two-way relationship, in that each edge can be traversed in both directions. This figure shows a simple undirected graph with three nodes and three edges. Directed graphs have edges with direction.

## What is an edge graph?

An edge (or link) of a network (or graph) is one of the connections between the nodes (or vertices) of the network. Edges can be directed, meaning they point from one node to the next, as illustrated by the arrows in the first figure below.

**What is weighted edge?**

A WEIGHTED EDGE is like a tollway; it costs a certain amount to travel along that edge in either direction. An UNWEIGHTED EDGE, on the other hand, is like a freeway. It costs nothing to travel along that edge. Like Directed and Undirected edges, you cannot mix Weighted and Unweighted Edges.

### What is a edge weight?

Edge Weights. Both Directed and Undirected Edges may be WEIGHTED or UNWEIGHTED. A WEIGHTED EDGE is like a tollway; it costs a certain amount to travel along that edge in either direction. An UNWEIGHTED EDGE, on the other hand, is like a freeway.

### What is an undirected edge?

Undirected graphs have edges that do not have a direction. The edges indicate a two-way relationship, in that each edge can be traversed in both directions.

**What is a undirected graph in data structure?**

An undirected graph is a set of nodes and a set of links between the nodes. Each node is called a vertex, each link is called an edge, and each edge connects two vertices. The order of the two connected vertices is unimportant. An undirected graph is a finite set of vertices together with a finite set of edges.