Planar Graphs and Euler’s Formula (VCE SSCE General Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a planar graph?
What is a planar graph?
Graph with no edges crossing except at vertices
Where do edges intersect in a properly drawn planar graph?
Where do edges intersect in a properly drawn planar graph?
Only at vertices
What are two graphs with same vertex connections but different drawings called?
What are two graphs with same vertex connections but different drawings called?
Equivalent or isomorphic graphs
Can all graphs be redrawn in planar form?
Can all graphs be redrawn in planar form?
No, some are inherently non-planar
What is a face in a planar graph?
What is a face in a planar graph?
A region of space created by the graph
What common mistake do students make when counting faces?
What common mistake do students make when counting faces?
Forgetting to count the infinite face
What is Euler's formula for connected planar graphs?
What is Euler's formula for connected planar graphs?
What type of graphs does Euler's formula work for?
What type of graphs does Euler's formula work for?
Any connected planar graph
