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TASMathematics ApplicationsQuick questions
Unit 3
Quick questions on Planar Graphs and Euler's Formula - TCE Mathematics Applications (Tasmania)
2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What are counting faces?Show answer
Faces are the enclosed regions of a planar drawing, plus the single infinite region outside the graph. Beginners forget the outer face, so always add one for the outside when you count.
What is connected requirement?Show answer
Euler's formula in the form applies to connected planar graphs. If the graph splits into separate pieces, the formula must be adjusted, so first confirm the graph is in one connected piece before applying it.
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