I notice you have not given an answer to (a) which is necessary for b while for (b) it looks like you have drawn precisely those edges that are not in E! Edge set E is defined as $\displaystyle \{(i, j)| A_i\cap A_j= \phi\}$. (1, 2) is NOT in that set because $\displaystyle A_1\cap A_2= {2}$ and is not empty. Similarly (2, 3), (3, 4), (4, 5) and (1, 5) are not edges but (1, 3), (1, 4), (2, 4), (2, 5), and (3, 5) are. The graph is not a pentagon but the a five pointed star.
Thanks HallsofIvy ,
I think I'm having a bit of trouble reading the question. the part E = {{ i,j } : i,j ∈ V , Ai ∩ Aj = Ø}
in words E equals in the set i,j i,j is an element of V , Ai is disjoint to Aj = to the empty set .
I'm struggling with the i and j part as i don't know what they are there for .
Any advice would be helpful .
Thanks again
Thanks Plato ,
I'll do the matrices a bit later and post them for the star you have just drawn ,right now working on some other problems associated with graphs and discrete math .
cheers