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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.3, Problem 28ES

Textbook Problem

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If a planar drawing of a graph has twice as many edges as vertices, find a relationship between the number of faces and the number of vertices.

To determine

The relationship between the number of faces and number of vertices.

**Given information:**

A planar graph has twice as many edges as vertices.

**Formula used:**

__Euler's Formula: __v + f = c + 2, where f is the number of faces, v is the number of vertex and c is the number of edges.

**Calculation:**

Let x be the number of vertices in the planar graph.

The planar graph has twice as many edges as vertices.

Substituting these values in

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