A Graphs Graphs Before Models

We introduce elementary graph theory before we show that mathematical graphs reveal important differences between closed and open circulatory systems. We then introduce modeling. Basically, one way to compare distribution systems, be they natural or devices, is to compare their graphs and then build models. Graphs come before models, because before we build conceptual models, we should learn the geography of a system's connectivity. What parts connect with what parts? How far apart are they? Graphs abstract away the trees and bushes covering complex landscapes revealing the contours of the hills. A graph in its simplest form and sufficient for our context is a set of points connected to each other in some way through a set of lines.

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