A network is represented by the following graph.
- Draw the above network as a planar graph. (1 mark)
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- Find the number of faces of this planar graph. (2 marks)
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i.
ii. \(6\)
Show Worked Solution
i.
ii. \(\text{Method 1}\)
\(\text{By inspection (see image above):} \)
\(\text{Number of faces = 6} \)
\(\text{Method 2}\)
| `v-e+f` | `=2` | |
| `8-12+f` | `=2` | |
| `f` | `=6` |