Lesson plan

String graph

In graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph , is a string graph if and only if there exists a set of curves, or strings, such that the graph having a vertex for each curve and an edge for each intersecting pair of curves is isomorphic to .

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Article summary

In graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph , is a string graph if and only if there exists a set of curves, or strings, such that the graph having a vertex for each curve and an edge for each intersecting pair of curves is isomorphic to .

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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