Trees
Contents
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.
