
Understanding Isomorphic Graphs

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the intuitive idea behind isomorphic graphs?
They are completely different in structure.
They have the same number of edges.
They are identical in structure except for vertex names.
They have the same number of vertices.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a necessary condition for two graphs to be isomorphic?
They must have the same color.
They must have the same number of vertices and edges.
They must have the same vertex labels.
They must be drawn on the same plane.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a bijection ensure in the context of isomorphic graphs?
Each vertex is mapped to multiple vertices.
Each vertex is mapped to exactly one vertex.
Vertices are not mapped at all.
Vertices are mapped to edges.
Tags
CCSS.HSF-BF.B.4D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first attempt to find an isomorphism, what was the issue with the proposed function?
It was not defined for all vertices.
It did not respect the edge relations.
It mapped vertices to the same vertex.
It was not a bijection.
Tags
CCSS.HSF-BF.B.4D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why was the first proposed isomorphism not valid?
It was not defined for any vertex.
It was not a bijection.
It did not map all vertices.
It did not preserve edge connections.
Tags
CCSS.HSF.BF.B.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct mapping for vertex A in G1 to make the graphs isomorphic in the second attempt?
Vertex A in G2
Vertex D in G2
Vertex B in G2
Vertex C in G2
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second attempt, which vertex in G1 is mapped to vertex D in G2?
Vertex A
Vertex D
Vertex B
Vertex C
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