Graph Theory Review
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a Euler's Circuit?
Back
A Euler's Circuit is a path in a graph that visits every edge exactly once and returns to the starting vertex. For a graph to have a Euler's Circuit, all vertices must have even degrees.
2.
FLASHCARD QUESTION
Front
What is a Hamilton Path?
Back
A Hamilton Path is a path in a graph that visits every vertex exactly once. It does not need to return to the starting vertex.
3.
FLASHCARD QUESTION
Front
What is the condition for a graph to have a Euler Path?
Back
A graph has a Euler Path if it has exactly 0 or 2 vertices of odd degree.
4.
FLASHCARD QUESTION
Front
What is a circuit in graph theory?
Back
A circuit is a closed path in a graph where the starting and ending vertices are the same, and it visits every edge exactly once.
5.
FLASHCARD QUESTION
Front
What is the difference between a Euler Path and a Hamilton Path?
Back
A Euler Path visits every edge exactly once, while a Hamilton Path visits every vertex exactly once.
6.
FLASHCARD QUESTION
Front
What does it mean for a vertex to have an even degree?
Back
A vertex has an even degree if it is connected to an even number of edges.
7.
FLASHCARD QUESTION
Front
What does it mean for a vertex to have an odd degree?
Back
A vertex has an odd degree if it is connected to an odd number of edges.
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