Consider the graph below.
- Redraw this network as a planar graph. (1 mark)
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- Find the number of faces on the planar graph. (2 marks)
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Show Answers Only
i.
ii. \(\text{Number of faces = 4}\)
Show Worked Solution
i.
ii. \(\text{Method 1}\)
\(\text{By inspection, number of faces = 4}\)
\(\text{Method 2}\)
| `v-e+f` | `=2` | |
| `4-6+f` | `=2` | |
| `f` | `=4` |