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

Siso-4bit register, explain working of siso-register to store 1011 and show...

explain working of siso-register to store 1011 and show timing diagram &table

Inorder traversal, Inorder traversal: The left sub tree is visited, then t...

Inorder traversal: The left sub tree is visited, then the node and then right sub-tree. Algorithm for inorder traversal is following: traverse left sub-tree visit node

Boar corloring, Board coloring , C/C++ Programming

Board coloring , C/C++ Programming

Nested for loop, nested for loop for (i = 0; i for (j = 0; j seq...

nested for loop for (i = 0; i for (j = 0; j sequence of statements } } Here, we observe that, the outer loop executes n times. Every time the outer loop execute

B-tree, Unlike a binary-tree, each node of a B-tree may have a number of ke...

Unlike a binary-tree, each node of a B-tree may have a number of keys and children. The keys are stored or saved in non-decreasing order. Each key has an related child that is the

Methods, what is folding method?

what is folding method?

Explain linked list and its types, Data Structure and Algorithm 1. Exp...

Data Structure and Algorithm 1. Explain linked list and its types. How do you represent linked list in memory? 2. List and elucidate the types of binary tree. 3. Descr

Signals, How does cpu''s part tming and controls generate and controls sign...

How does cpu''s part tming and controls generate and controls signls in computer?

Merge sort , What is the best-case number of comparisons performed by merge...

What is the best-case number of comparisons performed by mergesort on an input sequence of 2 k distinct numbers?

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