Self doubt

Question

Is this graph Euler?

Answer 1

Any graph has a $Euler\,path$ if the number of $odd$ degree vertices are $0\,or\,2$ and all the non-zero degree vertices belong the same component

For $Euler\,graph$ it should have a cyle i.e. number of odd degree vertices should be 0.

Here the number of odd degree vertices are 2. So, this is not a $Euler\,graph$.

Comments

You are definition is euler path but not euler cycle.

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@Shaik Masthan i thought of euler graph as having path. Corrected it. Thanks

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@Shaik Masthan , so it has Euler path but it is not a Euler graph?

 

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Yes... note that parallel edges doesn't effect Hamilton graphs but they may effect euler graphs