Tuesday, December 4, 2018

Moving towards trees

The student / teacher graphs and interaction graphs are often better seen as trees. We should really expect the earlier generations of Tannaim and Amoraim to be higher up on the graph and later generations lower.

In the past, these vertices representing rabbis were randomly placed and the directed edges connecting them pointed in all direction (up, down, left and right). I have a specific tree-like graph structure in mind, and today I announce the first step towards that.

Here is the graph before the changes, from Chullin 7a:

Chullin 7a graph, with edges in all directions

Here is the same graph, after the introduced changes:

New Chullin 7a graph

Note how almost all edges are directed upwards, and generally, higher up in the connected component of a graph are the earlier generation. There is still some work to do, but I think this is a marked improvement.

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