Concept

What is a free tree?

Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1

"A tree is really nothing but a simplification of a graph. There are two kinds of trees in the world: free trees, and rooted trees. A free tree is just a connected graph with no cycles. Every node is reachable from the others, and there’s only one way to get anywhere. It looks just like a graph (and it is) but unlike the WWII France graph, it’s more skeletal. This is because in some sense, a free tree doesn’t contain anything “extra.”"

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What is a free tree? | Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk | Bifalgorithm | Bifalgorithm