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Networks, SMB-014

The network below can be represented as a planar graph.
 

Draw the planar graph representation of this network and find the number of faces in the planar graph.   (3 marks)

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`text{Number of faces = 6}`

Show Worked Solution

`text(Redrawing the graph in planar form:)` 

`text{Method 1}`

`text{Number of faces = 6 (by inspection)}`

 
`text(Method 2 (Euler’s formula))`

`v + f` `= e + 2`
`5 + f` `= 9 + 2`
`:. f` `= 6`

Filed Under: Basic Concepts Tagged With: num-title-ct-path, smc-4788-40-Planar graphs, smc-4788-50-Euler's formula

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