What is a tree in graph theory?

Understanding Trees in Graph Theory

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A connected graph with no cycles
A graph with cycles
A disconnected graph
A connected graph with cycles
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation must hold true for a graph to be a tree?
e = v / 2
e = v + 1
e = v - 1
e = v * 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is graph A not considered a tree?
It has more vertices than edges
It is not connected
It has cycles
The equation e = v - 1 does not hold
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What characteristic of graph B confirms it as a tree?
It is disconnected
It has cycles
It has more edges than vertices
It satisfies e = v - 1 and is connected with no cycles
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many edges does graph B have?
Four
Five
Six
Three
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What makes graph C a tree?
It satisfies e = v - 1 and is connected with no cycles
It is not connected
It has more edges than vertices
It has cycles
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many vertices does graph C have?
Six
Three
Four
Five
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