AllEdgesThroughoutEvolution.md

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All Edges throughout Evolution

"AllEventsEdgesList" (aka "AllExpressions") returns the list of edges throughout evolution. This is distinct from a catenated "StateList", as the edge does not appear twice if it moved from one generation to the next without being involved in an event.

Compare for instance the output of "StatesList" for a system where only one replacement is made per generation:

In[] := WolframModel[<|"PatternRules" -> {x_?OddQ, y_} :> x + y|>,
 {1, 2, 4, 6}, Infinity, "StatesList"]
Out[] = {{1, 2, 4, 6}, {4, 6, 3}, {6, 7}, {13}}

to the output of "AllEventsEdgesList":

In[] := WolframModel[<|"PatternRules" -> {x_?OddQ, y_} :> x + y|>,
 {1, 2, 4, 6}, Infinity, "AllEventsEdgesList"]
Out[] = {1, 2, 4, 6, 3, 7, 13}

Note how 4 and 6 only appear once in the list.

Edge indices from "AllEventsEdgesList" are used in various other properties such as "AllEventsList" and "EventsStatesList".