Restricted Representations

Our choices and assumptions restrict realistic graphical representations. Graphs, by themselves, introduce a minimum arbitrary structure into our analysis, but even so, graphs are one useful basis for modeling and comparing complicated relationships in organisms and devices. We make directed edges or one-way streets (arterial blood flow leaving or venous blood returning to the heart for example), and when we create directed edges, some relationships automatically become more important than others. Many real networks are unconnected, but multiple relationships exist simultaneously between the same set of elements, as with husbands, wives and lovers. For each relationship, its graph would be different but the vertices are the same.

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