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37 lines
1.4 KiB
Markdown
37 lines
1.4 KiB
Markdown
---
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title: "tree"
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tags:
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- cosc201
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- datastructure
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---
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not so much a data type. More of a data concept of a way in which data can be organised
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The first example we saw was with the chains of representatives in [union-find](notes/union-find.md)
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The type required for the ordered [set](notes/set.md) data type is the binary tree
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Trees in general:
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- Consists of *Nodes*
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- One node is distinguished and called the *root*
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- Each node, except the root, has a uniquw *parent*
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- Any chain that moves from a mnode to its parent , its grandparent etc, eventually reaches the root.
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- The *children* of a nore arll the nodes of which it is the parent
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- Nodes may (and usually do) have additional data associated to them. (does not affect the structure)
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- Nodes with no children are *leaves*
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For example:
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- *cat* is the root (root is drawn at the top)
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- the parent of *dog* is cat*,* of *rat* is *emu*
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- some nodes have two children, one has three (*emu* ) and some have none.
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The only differnce between these two trees is the *order* of the elements.
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We need to specify whether this makes them different or not. In computer science, order usually *does* mater. These are sometimes called*plane trees*.
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Sometimes there are fixed slots for the children e.g.,
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[binary-search-tree](notes/binary-search-tree.md) |