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Introduction to Trees

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A non-linear DS used to represent data containing a hierarchical relationship between elements - A set of nodes storing elements in a parent-child relationship - A data structure which consists of a finite set of elements called nodes or vertices a finite set of directed arcs which connect the...

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  • January 29, 2023
  • 31
  • 2022/2023
  • Class notes
  • James a. okello
  • All classes
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Data Structure and
Algorithms
(Introduction to Trees)
UKZN
ENEL2DSH2
September 2016

,Broad classification
Broadly classified as linear or non-linear
• Linear DS
 Arrays (Covered in lecture_4)
 Linked list (Covered in lecture_5)
 Stacks (Covered in lecture_6-1)
 Queues (Covered partially in lecture_6-2)
 Hash tables
• Non-linear DS
 Trees (Lecture_7-1)
 Graphs

,Turning a tree upside-
down tree

, Trees in data structure
Definition: - A non-linear DS used to represent data containing a
hierarchical relationship between elements
- A set of nodes storing elements in a parent-child relatio
- A data structure which consists of
• a finite set of elements called nodes or vertices
• a finite set of directed arcs which connect the nodes
If the tree is non-empty
• one of the nodes (the root) has no incoming arc, & does not hav
parent node
• every other node can be reached by following a unique sequenc
consecutive arcs & have a unique parent

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