I don't know why I'm struggling to work this out.
I'm reading a paper on Algebraic Graph theory and come up with this problem.
$x_{i} \in \Re^{d}, i = 1, ....., N$. Let $V = {1, ......, N}$
Where Edge set is $E \subset V x V$. Where the interpretation is that an edge $(v_{i}, v_{j})$ is in E if agents $i$ and $j$ can interact with each other.
So is the following true:
Let $V = [1, 0, 1, 0]$
Then $V x V = [(1, 0), (1, 1), (0, 0), (0, 1)]$
Or do I need to create two series for $i$ and then for $V$ because the way that I got taught set theory was that in order to calculate the Cartesian product, two data-series must be given.
Hope someone can help me