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	\begin{equation*} A = \begin{bmatrix} 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{bmatrix} \end{equation*}
Example II	\begin{equation*} A = \begin{bmatrix} 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{bmatrix} \end{equation*}
Example III	\begin{equation*} A = \begin{bmatrix} 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{bmatrix} \end{equation*}
Example IV	\begin{equation*} A = \begin{bmatrix} 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{bmatrix} \end{equation*}
Example V	\begin{equation*} A = \begin{bmatrix} 0 & 1 & 0 & 1 \\ 1 & 0 & 1 & 1 \\ 0 & 1 & 0 & 1 \\ 1 & 1 & 1 & 0 \end{bmatrix} \end{equation*}

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