Expert answer:TASK 8 Graph Theory Continued and Modular Arithmet
Expert answer:Task 8Graph Theory Continued and Modular ArithmeticEuler CircuitsDo you remember what you did last week? How about the trick to finding an Euler Circuit or Euler Path? If you don’t remember, look up what “Euler’s Theorems” are in graph theory (specifically #1 and #2). Once you have a good handle on this, go the Google and search for images of “graph theory.” Take a few moments and see if you can determine which of those first dozen or so graphs have an Euler Circuit, and Euler Path, or neither.Taking the time for this activity will help you out on this week’s content!Work through the site Euler is Everywhere http://www.geom.uiuc.edu/~doty/applications.htmlVisit the Boston Science Museum, fly a plane, and take a trip around the world using Euler Circuits, virtually!Practice on Hamilton Circuits http://www.math.wisc.edu/~meyer/math141/graphs2.htmlReturn to the Euler is Everywhere site and answer the questions posed by each part.
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