Regular Graph/Examples

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Examples of Regular Graphs

Incomplete $0$-Regular

The $0$-regular graphs which are not complete are the edgeless graphs $N_n$ of order $n$ for $n > 1$.


For example, $N_2$:

N2.png


Incomplete $1$-Regular

An example of a $1$-regular graph which is not complete is shown below:

Incomplete-1-Regular-Graph.png


Incomplete $2$-Regular

The $2$-regular graphs which are not complete are the cycle graphs $C_n$ of order $n$ for $n > 3$.


For example, $C_4$:

C4.png


Note that $C_3$ is both $2$-regular and complete.


Incomplete $3$-Regular

An example of a $3$-regular graph which is not complete is shown below:

Incomplete-3-Regular-Graph.png