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Monday, June 8, 2015

Terminologies used in Trees

Terminologies used in Trees

  • Root – The top node in a tree.
  • Parent – The converse notion of child.
  • Siblings – Nodes with the same parent.
  • Descendant – a node reachable by repeated proceeding from parent to child.
  • Ancestor – a node reachable by repeated proceeding from child to parent.
  • Leaf – a node with no children.
  • Internal node – a node with at least one child.
  • External node – a node with no children.
  • Degree – number of sub trees of a node.
  • Edge – connection between one node to another.
  • Path – a sequence of nodes and edges connecting a node with a descendant.
  • Level – The level of a node is defined by 1 + the number of connections between the node and the root.
  • Height of tree –The height of a tree is the number of edges on the longest downward path between the root and a leaf.
  • Height of node –The height of a node is the number of edges on the longest downward path between that node and a leaf.
  • Depth –The depth of a node is the number of edges from the node to the tree's root node.
  • Forest – A forest is a set of n ≥ 0 disjoint trees.

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