Euler Paths and Circuits

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is an Euler Circuit?
Back
An Euler Circuit is a path in a graph that visits every edge exactly once and returns to the starting vertex.
2.
FLASHCARD QUESTION
Front
What is an Euler Path?
Back
An Euler Path is a path in a graph that visits every edge exactly once but does not necessarily return to the starting vertex.
3.
FLASHCARD QUESTION
Front
True or False: A graph with all vertices of even degree has an Euler Circuit.
Back
True
4.
FLASHCARD QUESTION
Front
True or False: A graph with exactly two vertices of odd degree has an Euler Path.
Back
True
5.
FLASHCARD QUESTION
Front
What is the relationship between Euler Paths and Euler Circuits?
Back
Some Euler Paths are also Euler Circuits, but not all.
6.
FLASHCARD QUESTION
Front
Complete the sentence: ALL, SOME or NO - ______ graphs with exactly 0 odd vertices have at least one Euler path.
Back
ALL
7.
FLASHCARD QUESTION
Front
Complete the sentence: ALL, SOME or NO - ______ paths are Euler Paths.
Back
SOME
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