prove that graphs of 6k1 edge and 6k1 vertices is k nonisomo

prove that graphs of  6(k-1) edge and 6(k-1) vertices is k non-isomorphic regular

graphs .all of the same order and same size and give an example of these graphs.

please drow several graphs with your explaintion .

Solution

Given:

           graphs of  6(k-1) edge and 6(k-1) vertices is k non-isomorphic regular graphs.

           means if we take k=2 then 6(2-1)=6 edges and 6(2-1)=6 vertices

       observe below graph this is 6 edges and 6 vertices graph

i,e all the same order and same size.

see an example for these type of graphs.

please drow several graphs with your explaintion

another is

      above two are isometric regular graphs.