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Chapter 14: Problem 70

Draw a graph with six vertices and two bridges.

Short Answer

Expert verified
A graph has been created with six vertices and two edges defined as bridges. It's important to note that removing the bridges results in a disconnected graph.

Step by step solution

01

Draw vertices

Start by drawing six dots or points on a paper. These points indicate the vertices of the graph.
02

Connect vertices

Proceed to connect some of the vertices. Rememeber to leave two vertices unconnected to create the bridges.
03

Create bridges

Now connect the last two vertices in a way that if these connections (edges) are removed, the graph becomes disconnected. These two connections are known as bridges.

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Most popular questions from this chapter

In Exercises 13-18, a connected graph is described. Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit. Explain your answer. The graph has 58 even vertices and two odd vertices.

How do you determine if a graph has no Euler paths and no Euler circuits?

In Exercises 49-52, draw a graph with the given characteristics. The graph has four even vertices.

Describe how to determine the number of Hamilton circuits in a complete graph.

Group members should determine a relationship that exists among some, but not all, members. Did some of you know one another before the course began? Do some of you have the same academic major? Be as creative as possible in determining this relationship. Then create a graph that serves as a model for describing this relationship.
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