WEEK-01

 

Five examples are given, each consisting of an adjacency matrix, a graph, and a degree distribution.

Example ID	Adjacency Matrix	Graph	Degree Distribution
Example I	$$A=\left[\begin{array}{ccccc}0& 1& 0& 1& 1\\ 1& 0& 1& 1& 0\\ 0& 1& 0& 1& 0\\ 1& 1& 1& 0& 0\\ 1& 0& 0& 0& 0\end{array}\right]$$
Example II	$$A=\left[\begin{array}{ccccc}0& 1& 0& 0& 1\\ 1& 0& 1& 0& 0\\ 0& 1& 0& 1& 0\\ 0& 0& 1& 0& 1\\ 1& 0& 0& 1& 0\end{array}\right]$$
Example III	$$A=\left[\begin{array}{ccccc}0& 1& 0& 0& 0\\ 1& 0& 1& 0& 0\\ 0& 1& 0& 1& 0\\ 0& 0& 1& 0& 1\\ 0& 0& 0& 1& 0\end{array}\right]$$
Example IV	$$A=\left[\begin{array}{ccccc}0& 1& 1& 1& 1\\ 1& 0& 1& 1& 1\\ 1& 1& 0& 1& 1\\ 1& 1& 1& 0& 1\\ 1& 1& 1& 1& 0\end{array}\right]$$
Example V	$$A=\left[\begin{array}{cccc}0& 1& 0& 1\\ 1& 0& 1& 1\\ 0& 1& 0& 1\\ 1& 1& 1& 0\end{array}\right]$$

Which of the following options is a correct list of all examples that include the correct triplet of adjacency matrix, corresponding graph, and degree distribution?

1. Only I is correct
2. Only I and II are correct
3. Only I, II and IV are correct
4. I, II, III, IV and V are correct
5. None of the above

Original idea by: Thaysa Bello