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Networks, SMB-013 MC

Consider the graph below.

The minimum number of extra edges that are required so that an Eulerian trail is possible in this graph is

  1. 0
  2. 1
  3. 2
  4. 3
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`B`

Show Worked Solution

`\text{Eulerian trail – every edge is used once only.}`
 

`text{Eulerian trails allow two vertices (only) to be odd.}`

`:.\ text{Need 1 extra edge that creates two even degree vertices (see image).}`

`=>  B`

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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