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Adjacency List Representation in Graph

In case of adjacency list representation 'n' number of singly linked lists are used to represent a graph of 'n' number of nodes. The adjacent nodes are represented as nodes of the individual linked lists representing each node (vertex). If there are no adjacent nodes then the linked list of the respective vertex point to NULL. Consider the following undirected graph:

 undirected graph

The adjacency list representation is:
The adjacency list representation is


In the above adjacency list representation the external pointer '1' contains the address of the first adjacent node of node 1 of graph. The linked list is the adjacency list of node 1. The first node of the list contains the address of second adjacent node 4. Similarly the node 4 contains the address of the last adjacent node of node 1 i.e. node 6. The link of the last node points to NULL. In this way the linked lists are created for all the vertices (nodes) of the graph. Consider the following digraph:
Adjacency List Representation in Graph


The adjacency list of the above digraph is:
The adjacency list of the above digraph

Consider the following weighted graph:

Adjacency List Representation in Graph

The adjacency list of above weighted graph is:
Adjacency List Representation in Graph

In the above adjacency lists one extra part of the node is used to store the weight of the connecting edge. The other parts are used as usual one for node number or label and the other for the address of next node.

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Memory representation of Linked List Data Structures in C Language

Memory representation of Linked List

             In memory the linked list is stored in scattered cells (locations).The memory for each node is allocated dynamically means as and when required. So the Linked List can increase as per the user wish and the size is not fixed, it can vary.

               Suppose first node of linked list is allocated with an address 1008. Its graphical representation looks like the figure shown below:


      Suppose next node is allocated at an address 506, so the list becomes,



  Suppose next node is allocated with an address with an address 10,s the list become,


The other way to represent the linked list is as shown below:




 In the above representation the data stored in the linked list is “INDIA”, the information part of each node contains one character. The external pointer root points to first node’s address 1005. The link part of the node containing information I contains 1007, the address of next node. The last node …