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In fact, this is equivalent to considering the developed form of A as the biadjacency matrix of the bipartite double cover of the original graph! Online Dating Recommender Systems: The Split-complex Number Approach, Proc.
Workshop on Recommender Systems and the Social Web, 2012.
Therefore, we really need two kinds of relationships in this network: .
The main idea of triangle closing is that when two edges are touching each other, we can predict a third edge such that a triangle is formed.
Instead of including an imaginary number different from zero has an inverse, but the same is not true for the split-complex numbers.