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Ch 48: NMTA Math: Graph Theory

About This Chapter

Use these short, appealing videos to reacquaint yourself with graph theory and boost your knowledge of the concepts you'll need on the NMTA Math exam. If you have any questions about graph theory as you work through the chapter, please let our instructors know.

NMTA Math: Graph Theory - Chapter Summary

Identify important graph theory terms and get demonstrations of vital concepts by watching these quick, engaging video lessons. Each comes with a companion transcript to present you with an option for additional review. Chapter topics include:

  • Graph theory basics
  • Euler paths, circuits and theorems
  • Fleury's algorithm for circuit finding
  • Hamilton circuits and paths
  • Weighted and complete graphs

Make sure to work through the short multiple-choice quiz after each lesson so you can practice interpreting and solving graph theory problems on your own. If you get stuck or confused, ask our instructors for help - they're there to support you.

Objectives of the NMTA Math: Graph Theory Chapter

This chapter provides an arsenal of great tools to help you conquer graph theory for your NMTA Math certification assessment. Take the video lessons with you on your mobile device. The lesson quizzes provide an additional boon - they not only let you practice using graph theory concepts, but also get you acclimated to the NMTA selected-response format.

The timed exam lasts four hours and fifteen minutes and includes 150 tasks. The exam is designed to assess your preparedness to teach five content domains, which account for the following percentages of your score: measurement and geometry (19%); stats, probability and discrete math (19%); trig and calculus (19%); mathematical processes and number sense (19%); and patterns, algebra and functions (24%).

7 Lessons in Chapter 48: NMTA 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the NMTA Mathematics (304): Practice & Study Guide course

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