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Networks, SMB-014 MC

An Eulerian trail for the graph above will be possible if only one edge is removed.

In how many different ways could this be done?

  1. `2`
  2. `3`
  3. `4`
  4. `5`
Show Answers Only

`D`

Show Worked Solution

`text{Konigsberg: an Eulerian trail needs two vertices (only) to have}`

`text{an odd degree.}`

`text{The graph has 4 vertices that are odd degree.}`

`text{Removing any of the dashed edges below would achieve this.}`
 

`=> D`

Filed Under: Trails, Paths and Cycles Tagged With: num-title-ct-path, smc-4789-50-Eulerian trails, smc-4789-70-Konigsberg

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