this post was submitted on 03 Apr 2025
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my problem with this is that these relationships cannot be adequately modeled as complete, nor even undirected graphs. A love K_3 has no conflict that is to be resolved, thats just a throuple, how is one to make a drama out of it? Same for a love K_4 or indeed any love K_n where n∈ℕ. We need more interesting graphs for romantic storytelling, more precisely, digraphs with lots of single directional edges that can over the course of the story be worked into a collection of disjoint complete digraphs where the K_1 is only permissible if it has a loop. Preferably the selfcentered inlaws.
That's a good point. Perhaps an ordinary love triangle must also be presented as a directed graph, and thus all generalizations should be a directed graph which would be equivalent to the above shapes if the graph were undirected and complete.