Lesson plan
leaf power
In the mathematical area of graph theory, a -leaf power of a tree is a graph whose vertices are the leaves of and whose edges connect pairs of leaves whose distance in is at most . That is, is an induced subgraph of the graph power , induced by the leaves of . For a graph constructed in this way, is called a -leaf root of . A graph is a leaf power if it is a -leaf power for some . These graphs have applications in phylogeny, the problem of reconstructing evolutionary trees.
Article summary
In the mathematical area of graph theory, a -leaf power of a tree is a graph whose vertices are the leaves of and whose edges connect pairs of leaves whose distance in is at most . That is, is an induced subgraph of the graph power , induced by the leaves of . For a graph constructed in this way, is called a -leaf root of . A graph is a leaf power if it is a -leaf power for some . These graphs have applications in phylogeny, the problem of reconstructing evolutionary trees.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.