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Virtual Math Learning Center

Virtual Math Learning Center Texas A&M University Virtual Math Learning Center

Section 1.4 - Urban Graph Traversal

Instructions

  • The first video below explains the concepts in this section.
  • This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.

Concepts

  • Weighted graphs
  • Directed graphs
  • Eulerizing weighted graphs at minimum cost

If you would like to see more videos on the topic, click the following link and check the related videos.


Exercises

Directions: You should try to solve each problem first, and then click "Reveal Answer" to check your answer. You can click "Watch Video" if you need help with a problem.

1. Eulerize the following graph at minimum cost.

Add edges CD, DI, IH, and HG.

If you would like to see more videos on this topic, click the following link and check the related videos.

2. Eulerize the following graph at minimum cost.

A weighted graph of a diamond with a loop on top

Add edges AB and BC.

If you would like to see more videos on this topic, click the following link and check the related videos.

3. Eulerize the following graph at minimum cost.

A weighted graph of a square with one additional vertex

Add edges AC and BE.

If you would like to see more videos on this topic, click the following link and check the related videos.