
Understanding Planar Graphs
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
Dr.Nagaveni K
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a planar graph?
A graph that can only be drawn in three dimensions.
A graph that contains no vertices.
A graph where all edges must intersect.
A graph that can be drawn on a plane without edges crossing.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following graphs is planar: K5, K3,3, or a triangle?
square
K3,3
triangle
K5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Can a graph with 5 vertices and 10 edges be planar?
It depends on the graph structure
No
Yes
Yes, if it has no cycles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum number of edges in a planar graph with n vertices?
4n - 8
2n - 4
3n - 6
n^2 - n
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Is every tree a planar graph? Why or why not?
Only some trees are planar graphs depending on their structure.
No, trees can have crossings that make them non-planar.
Yes, every tree is a planar graph.
Trees are always non-planar due to their branching nature.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if a graph is non-planar?
A graph is non-planar if it contains a subgraph that is a subdivision of K5 or K3,3.
A graph is non-planar if it contains a cycle of length 4.
A graph is non-planar if it has more than 10 vertices.
A graph is non-planar if it is colored with more than 3 colors.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is Kuratowski's theorem in relation to planar graphs?
A finite graph is planar if and only if it does not contain a subgraph that is a subdivision of K5 or K3,3.
A finite graph is planar if it has no cycles.
A finite graph is planar if and only if it contains a subgraph that is a subdivision of K3,3.
A finite graph is planar if it contains a subgraph that is a subdivision of K5.
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