What is a Hamilton Circuit?

Flashcard on Vertex Degrees

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
A Hamilton Circuit is a path in a graph that visits each vertex exactly once and returns to the starting vertex.
2.
FLASHCARD QUESTION
Front
What is Kruskal's Algorithm used for?
Back
Kruskal's Algorithm is used to find the minimum spanning tree of a graph by adding edges in increasing order of weight without forming cycles.
3.
FLASHCARD QUESTION
Front
What does the degree of a vertex represent?
Back
The degree of a vertex is the number of edges connected to it.
4.
FLASHCARD QUESTION
Front
How do you determine if a path is a Hamilton Circuit?
Back
A path is a Hamilton Circuit if it visits every vertex exactly once and returns to the starting vertex.
5.
FLASHCARD QUESTION
Front
What is the significance of a minimum cost spanning tree?
Back
A minimum cost spanning tree connects all vertices in a graph with the least total edge weight.
6.
FLASHCARD QUESTION
Front
Can a graph have more than one Hamilton Circuit?
Back
Yes, a graph can have multiple Hamilton Circuits depending on its structure.
7.
FLASHCARD QUESTION
Front
What is the difference between a Hamilton Circuit and a Hamilton Path?
Back
A Hamilton Circuit returns to the starting vertex, while a Hamilton Path does not.
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