Adjacency list representation, Data Structure & Algorithms

Assignment Help:

Adjacency list representation

An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V, adj[u] contains all vertices adjacent to u in the graph G.

Consider the graph of Figure.

636_Adjacency list representation.png

Figure: A Graph

Given is the adjacency list representation of graph of above Figure:

adj [1] = {2, 3, 5}

adj [2] = {1, 4}

adj [3] = {1, 4, 5}

adj [4] = {2, 3, 5}

 adj [5] = {1, 3, 4}

An adjacency matrix representation of a Graph G=(V, E) is a matrix

The adjacency matrix for the graph of Figure is following:

 

1

2

3

4

5

1

0

1

1

0

1

 

2

 

1

 

0

 

0

 

1

 

1

 

3

 

1

 

0

 

0

 

1

 

1

 

4

 

0

 

1

 

1

 

0

 

1

 

5

 

1

 

0

 

1

 

1

 

0

 

 

 

 

 

 

Observe that the matrix is symmetric along the main diagonal. If we described the adjacency matrix as A and the transpose as AT , then for undirected graph G as above, A = AT.


Related Discussions:- Adjacency list representation

Data structures, 1.  You are required to hand in both a hard copy and an el...

1.  You are required to hand in both a hard copy and an electronic copy of the written report on the project described in A, including all the diagrams you have drawn.  2.  You

Definition of algorithm, Definition of Algorithm Algorithm must have th...

Definition of Algorithm Algorithm must have the following five characteristic features: 1.      Input 2.      Output 3.      Definiteness 4.      Effectiveness 5

Linked lists - implementation, The Linked list is a chain of structures whe...

The Linked list is a chain of structures wherein each structure contains data in addition to pointer, which stores the address (link) of the next logical structure in the list.

Explain about the structured types - built-in types, Explain about the Stru...

Explain about the Structured types - Built-In Types Values of the carrier set are not atomic, consisting rather than several atomic values arranged in some way. Common illu

Generic doubly linked list, Your objective is to write a generic doubly lin...

Your objective is to write a generic doubly linked list class called CS228LinkedList that implements the List interface and uses a type variable T. All methods except for subList a

#binary search, Ask question #Minima binary search tree is used to locate t...

Ask question #Minima binary search tree is used to locate the number 43 which of the following probe sequences are possible and which are not? explainum 100 words accepted#

Multilist file organisation, what is multilist length file organisation? ex...

what is multilist length file organisation? explain with an example

Advantages of dry running a flowchart, Advantages of dry running a flowchar...

Advantages of dry running a flowchart When dry running a flowchart it's advisable to draw up a trace table illustrating how variables change their values at every stage in the

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

What is algorithms optimality, What is algorithm's Optimality? Optimali...

What is algorithm's Optimality? Optimality  is  about  the  complexity  of  the  problem  that  algorithm  solves.  What  is  the  minimum amount  of  effort  any  algorithm  w

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd