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Ch 48: AEPA Math: Graph Theory

About This Chapter

If you need help understanding graph theory for the AEPA Math certification assessment, these engaging, fun-sized video lessons are a great resource. You can request instructor support any time you need assistance.

AEPA Math: Graph Theory - Chapter Summary

As you navigate the entertaining video lessons in this chapter, you will cover the important graph theory concepts you'll likely run into as you work through the AEPA Math assessment. Lesson topics include:

  • Basic graph theory terms and ideas
  • Euler paths, Euler's circuits and Euler's theorems
  • Fleury's algorithm for finding Euler circuits
  • Hamilton circuits and paths

Each lesson is followed by a quick, multiple-choice quiz to let you practice using the ideas you've covered and pinpoint areas needing additional review. Let our instructors know if you have any questions about the material.

7 Lessons in Chapter 48: AEPA Math: Graph Theory
Test your knowledge with a 30-question chapter practice test
Graph Theory Concepts and Terminology

1. Graph Theory Concepts and Terminology

After watching this video lesson, you will better understand the workings of a graph in graph theory. Learn the key terms that you will see and what they look like on the graph. Also, learn how to navigate a graph.

Euler Paths and Euler's Circuits

2. Euler Paths and Euler's Circuits

Watch this video lesson, and you will see how you can turn a math problem into a challenging brain game. Learn what it means for a graph to be Eulerian or semi-Eulerian.

Mathematical Models of Euler's Circuits & Euler's Paths

3. Mathematical Models of Euler's Circuits & Euler's Paths

Watch this video lesson to see how Euler paths and circuits are used in the real world. Learn how to solve real-world problems by drawing a graph and finding Euler paths and circuits.

Euler's Theorems: Circuit, Path & Sum of Degrees

4. Euler's Theorems: Circuit, Path & Sum of Degrees

Watch this video lesson, and you will understand how Euler's circuit theorem, Euler's path theorem, and Euler's sum of degrees theorem will help you analyze graphs. Also, get some practice with the quiz.

Fleury's Algorithm for Finding an Euler Circuit

5. Fleury's Algorithm for Finding an Euler Circuit

In this video lesson, you will learn a method for finding an Euler circuit. Learn the one criterion that is the basis for all your decisions when choosing a route.

Hamilton Circuits and Hamilton Paths

6. Hamilton Circuits and Hamilton Paths

After watching this video lesson, you will be able to determine how many Hamilton circuits a particular graph has, as well as find Hamilton circuits and paths in these graphs. Then, check out our quiz questions to test your new knowledge!

Assessing Weighted & Complete Graphs for Hamilton Circuits

7. Assessing Weighted & Complete Graphs for Hamilton Circuits

Watch this video lesson and you will discover how to find a Hamilton circuit in a weighted graph. You'll also learn how to find the number of Hamilton circuits in a complete graph.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

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