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ِ‫ن‬َ‫م‬ْ‫ح‬‫ه‬‫الر‬ ِ ‫ه‬
‫اَّلل‬ ِ‫م‬ْ‫س‬ِ‫ب‬
‫مم‬ ِ‫ح‬‫ه‬‫الر‬
DATA STRUCTURES
& ALGORITHMS
Lecture No. 3
By: Azhar Iqbal
NON-LINEAR DATA STRUCTURE
Non-linear Data Structure: Data structures where data elements are not
arranged sequentially or linearly are called non-linear data structures.
Examples of non-linear data structures are:
 Tree
Graphs
A tree data structure, along with graphs, are
two non-linear data structure that store data
in a non-common but specific way (compared
to linear structures collections such as
arrays).
Trees are a collection of data formed of data elements called Nodes; Nodes are
connected to each other by edges; each node element may or may not have child nodes.
Tree
In each Tree collection, we have one root node, which is the very first node in our tree.
If a node is connected to another node element, it then becomes a parent node and its connected node is
its child node.
 Binary Tree,
 Binary Search Tree
 AVL Tree
 Red-Black Tree
 Splay Tree
 Heap and Tries
Types of Trees
GRAPH
• A graph data structure is a collection of
nodes that have data and are connected to
other nodes.
• Let's try to understand this through an
example. On Facebook, everything is a
node. That includes User, Photo, Album,
Event, Group, Page, Comment, Story, Video,
Link, Note...anything that has data is a
node.
• Every relationship is an edge from one
node to another. Whether you post a
photo, join a group, like a page, etc., a new
edge is created for that relationship.
All of Facebook is then a collection of these nodes and
edges. This is because Facebook uses a graph data
structure to store its data.
More precisely, a graph is a data structure (V, E) that
consists of
•A collection of vertices V
•A collection of edges E, represented as ordered pairs of
vertices (u,v)
Create: The create operation results in reserving memory
for program elements. This can be done by declaration
statement. Creation of data structure may take place either
during compile-time or run-time. malloc() function of C
language is used for creation.
.
Selection: Selection operation deals with accessing
a particular data within a data structure.
Data Structures
Operation
Updating: It updates or modifies the data in the
data structure.
Searching: It finds the presence of desired data
item in the list of data items, it may also find the
locations of all elements that satisfy certain
conditions
Sorting: Sorting is a process of arranging all data
items in a data structure in a particular order, say for
example, either in ascending order or in descending order.
Traversal: Traversal is a process of visiting each and every node of a list in systematic manner.
Merging: Merging is a process of combining the data
items of two different sorted list into a single sorted list.
Destroy: Destroy operation destroys memory space
allocated for specified data structure. free() function of
C language is used to destroy data structure.
Design of efficient data structure must take operations to be
performed on the data structures into account.
Splitting: Splitting is a process of partitioning single
list to multiple list.
Thank You. . . . .
Any Question…?

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Data structures Lecture no.3

  • 1. ِ‫ن‬َ‫م‬ْ‫ح‬‫ه‬‫الر‬ ِ ‫ه‬ ‫اَّلل‬ ِ‫م‬ْ‫س‬ِ‫ب‬ ‫مم‬ ِ‫ح‬‫ه‬‫الر‬
  • 2. DATA STRUCTURES & ALGORITHMS Lecture No. 3 By: Azhar Iqbal
  • 3. NON-LINEAR DATA STRUCTURE Non-linear Data Structure: Data structures where data elements are not arranged sequentially or linearly are called non-linear data structures. Examples of non-linear data structures are:  Tree Graphs
  • 4. A tree data structure, along with graphs, are two non-linear data structure that store data in a non-common but specific way (compared to linear structures collections such as arrays). Trees are a collection of data formed of data elements called Nodes; Nodes are connected to each other by edges; each node element may or may not have child nodes. Tree In each Tree collection, we have one root node, which is the very first node in our tree. If a node is connected to another node element, it then becomes a parent node and its connected node is its child node.
  • 5.
  • 6.  Binary Tree,  Binary Search Tree  AVL Tree  Red-Black Tree  Splay Tree  Heap and Tries Types of Trees
  • 7. GRAPH • A graph data structure is a collection of nodes that have data and are connected to other nodes. • Let's try to understand this through an example. On Facebook, everything is a node. That includes User, Photo, Album, Event, Group, Page, Comment, Story, Video, Link, Note...anything that has data is a node. • Every relationship is an edge from one node to another. Whether you post a photo, join a group, like a page, etc., a new edge is created for that relationship. All of Facebook is then a collection of these nodes and edges. This is because Facebook uses a graph data structure to store its data. More precisely, a graph is a data structure (V, E) that consists of •A collection of vertices V •A collection of edges E, represented as ordered pairs of vertices (u,v)
  • 8.
  • 9. Create: The create operation results in reserving memory for program elements. This can be done by declaration statement. Creation of data structure may take place either during compile-time or run-time. malloc() function of C language is used for creation. . Selection: Selection operation deals with accessing a particular data within a data structure. Data Structures Operation Updating: It updates or modifies the data in the data structure. Searching: It finds the presence of desired data item in the list of data items, it may also find the locations of all elements that satisfy certain conditions Sorting: Sorting is a process of arranging all data items in a data structure in a particular order, say for example, either in ascending order or in descending order. Traversal: Traversal is a process of visiting each and every node of a list in systematic manner. Merging: Merging is a process of combining the data items of two different sorted list into a single sorted list. Destroy: Destroy operation destroys memory space allocated for specified data structure. free() function of C language is used to destroy data structure. Design of efficient data structure must take operations to be performed on the data structures into account. Splitting: Splitting is a process of partitioning single list to multiple list.
  • 10. Thank You. . . . . Any Question…?