2013-07-12 23:03:31 +02:00
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# Mathematical background
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The main data structure is a full binary tree.
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A binary tree is *full* if each of its node has either two or zero children.
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If a node has two children it is an internal node, otherwise a leaf.
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Fundamental theorem:
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Let I be the number of internal nodes and L the number of leaves, then:
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2014-01-21 20:48:49 +01:00
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L = I + 1
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2013-07-12 23:03:31 +02:00
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(It can be proved by induction on the number of internal nodes.)
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This means that when we add a leaf to the tree (when a window is created), we must also add one internal node.
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