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Networks, SMB-007 MC

A connected planar graph has 12 edges.

This graph could have

  1. 5 vertices and 6 faces.
  2. 5 vertices and 8 faces.
  3. 6 vertices and 8 faces.
  4. 6 vertices and 9 faces.
Show Answers Only

`C`

Show Worked Solution

`text(Consider option C:)`

`v + f` `= e + 2`
`6 + 8` `= 12 + 2`
`14` `= 14`

 

 
`text(i.e. Euler’s formula holds.)`

`=>  C`

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

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