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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.3, Problem 24ES

Textbook Problem

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If a planar drawing of a graph has 100 vertices and 50 faces, how many edges are in the graph?

To determine

The number of edges does a graph have whose faces and vertices are 50 and 100.

**Given information:**

Number of vertices = 100

Number of faces = 50

**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:**

Number of vertices = 100

Number of faces = 50

Substituting these

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