Key concepts
- A graph represents connections using nodes and edges.
- An objective defines what a model optimizes.
- Alternative representations can change a result.
The lesson
A network graph reduces a structure to nodes and connecting edges. For fungal images, a study might assign nodes to junctions and edges to connecting cords. This representation is a modeling choice.
Path length, connectivity and construction cost capture different properties. Comparing networks requires consistent definitions and sampling. A favorable score does not demonstrate a universal biological optimum or predict a farm outcome.
Further reading
A moment to apply it
Put it into practice
For a small graph, compare a design with one path between every pair of nodes to a design with an additional loop. Describe the cost and redundancy tradeoff.
Keep in mind
Make assumptions visible so another learner can reproduce the comparison.
Educational material. Check the linked reading and distinguish general principles from evidence about a particular specimen or field site. Lessons do not establish edibility or causal effects on livestock performance.