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A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.

29 votes
3 answers
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Growing random trees on a lattice $\rightarrow$ Voronoi diagrams

Here is a view of (a portion of) the trees grown from three seeds:                     I expected the trees to intertwine and tangle with one another as they grew, but instead they appear to be approximating … Why do the trees not entangle more significantly where they meet? Finally: Q3. Are there any results known on the structure of the individual grown trees? …
Joseph O'Rourke's user avatar