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Recovering the spatial hypergraph from a transversal of the spacetime causal graph...

Recovering a mixed spatial/branchial graph from a transversal of the multiway causal graph... (? “multispace”)

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LayeredGraphPlot[Graph[ResourceFunction["MultiwaySystem"]["WolframModel"{{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}}},{{{0,0},{0,0}}},3,"StatesGraph"],VertexSize1.8],AspectRatio1/2]
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ResourceFunction["WolframModel"][{{{x,y},{x,z}}{{x,z},{x,w},{y,w},{z,w}}},{{0,0},{0,0}},6,"CausalGraph"]
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GraphPlot[ResourceFunction["MultiwaySystem"][{"AB""BAB","BA""A"},"ABA",4,"EvolutionEventsGraph","IncludeInitializationEvents"False,"IncludeStepNumber"True],GraphLayout{"LayeredDigraphEmbedding"}]
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ResourceFunction["SubstitutionSystemCausalGraph"][{"AB""BAB","BA""A"},"ABA",6]
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Consider reconstruction of multispace from the MWCG of a SS

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ResourceFunction["MultiwaySystem"][{"AB""BAB","BA""A"},"ABA",7,"BranchialGraph"]
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Can one render it so that the spatial edges are dominant, and the branchial edges are in little regions?

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