Practice Euler Path And Euler Circuit (1) - Euler Path and Euler Circuit

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6 sample questions

Question 1.
What is an Euler circuit?
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Consider how the path starts and ends.
Question 2.
How many vertices must have odd degrees for an Euler path?
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Reflect on how many endpoints an Euler path has.
3Question 3.
What defines an Euler circuit?
- It must start and end at the same vertex
- It must have odd degree vertices
- It must only use cut edges
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Think about the path's start and endpoints.
4Question 4.
True or False: An Euler path can exist in a graph with all vertices having even degrees.
- True
- False
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Reflect on Euler path conditions.
Question 5.
Design a graph with 4 vertices of which 2 have odd degrees and 2 have even degrees. Show if it has an Euler path and explain your reasoning.
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Check how many vertices have even and odd degrees.
Question 6.
Using Fleury's algorithm, find the Euler circuit for a given graph diagram (provided in class). Describe each step.
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Focus on the edges remaining as you traverse.

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