Graph Theory

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Issue:

Technology

 

Written by:

Paul C

 

Date added:

March 7, 2011

 

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Grade:

A

 

No of pages / words:

6 / 1556

 

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8678 times

 

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If it is not empty, it consists of a distinguished node r called the root and zero or more non-empty subtrees T1, T2, …, Tk such that there is a directed edge from r to each of the roots of T1, T2, …, Tk.Definition. A forest is a collection of trees. You can always create a tree form a forest by creating a new root node and making it the parent of the roots of all of the trees in the forest...
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You can always create a tree form a forest by creating a new root node and making it the parent of the roots of all of the trees in the forest. Conversely, if you lop off the root of a tree, what is left is a forest. I assume that you are familiar with the terminology of binary trees, e.g., parents, children, siblings, ancestors, descendants, grandparents, leaf nodes, internal nodes, external nodes, and so on, so I will not repeat their definitions here...
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