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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.3, Problem 27ES

Textbook Problem

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Explain why it is not possible to draw a planar graph that contains three faces and has the same number of vertices as edges.

To determine

**To explain:**

The reason for that it is not possible to draw a planar graph that contains three faces and has the same number of vertices as edges

**Given information:**

Number of faces (f) = 3

It is not possible to draw a planar graph that contains three faces and has the same number of vertices as edges as because it wouldn't satisfy the Euler's formula.

Consider a graph contains same number of vertices and edges.

Number of vertices (v) = x

Number of edges (c) = x

Then the Euler's formula

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