   # Answer the following questions for the graph shown below. How many vertices are of degree 3? How many faces does the graph consist of (including the infinite face)? Show that Euler's formula is satisfied by this graph. ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 5, Problem 9T
Textbook Problem
1 views

## Answer the following questions for the graph shown below. How many vertices are of degree 3? How many faces does the graph consist of (including the infinite face)? Show that Euler's formula is satisfied by this graph.

To determine

(a)

To find:

How many vertices have degree 3

### Explanation of Solution

Given:

To determine

(b)

To find:

How many faces are there in the given graph including infinite face.

To determine

(c)

To find:

Whether this graph satisfies Euler's formula.

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