Difference between revisions of "Trees"
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===No Cycles=== | ===No Cycles=== | ||
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==What is a Rooted Tree== | ==What is a Rooted Tree== | ||
Revision as of 10:03, 29 November 2017
Contents
[hide]What is a Tree
A tree is a connected, undirected graph with no cycles in it.
Connected
All nodes must be connected to other nodes so that no part of the graph is separated. An unconnected graph is essentially 2 separate graphs.
Undirected
A tree can't have any directed edges/arcs. This will be an arrow on the edge/arc to indicate the direction of travel.
No Cycles
A run of interconnected nodes that return to the point of origin.
What is a Rooted Tree
A tree with one vertex singled out as a starting point.
What is a Binary Tree
A binary tree is a graph with no cycles in which each node is succeeded by a maximum of 2 nodes, a 'left' child and a 'right' child, therefore they can be either directed or undirected.
