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Discrete Mathematics and its Applications

Kenneth H. Rosen

$Math Studyset Vaia Explanations$ Math

7th Edition · 808 pages

ISBN: 9780073383095

Chapter 5: Q42E (page 371)

Give a recursive algorithm for triangulating a simple polygon with n sides, using Lemma 1 in Section 5.2.

Short Answer

Expert verified

The recursive algorithm is given

Step by step solution

Given that

Given a simple polygon with n sides.

Write algorithm

If n = 3 , then the polygon is already triangulated.

Otherwise, the polygon must have a diagonal. Draw the diagonal. This diagonal splits the polygon into two polygons, each of which has less than n vertices.

Recursively apply this algorithm to triangulate each of these polygons. The result is a triangulation of the original polygon.

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Give a recursive algorithm for triangulating a simple polygon with n sides, using Lemma 1 in Section 5.2.

Short Answer

Step by step solution

Given that

Write algorithm

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Most popular questions from this chapter

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