Undirected graph and adjacency matrix, Data Structure & Algorithms

Assignment Help:

Q. Consider the specification written below of a graph G

V(G ) = {1,2,3,4}

E(G ) = {(1,2), (1,3), (3,3), (3,4), (4,1)}

(i) Draw the undirected graph.

(ii) Also draw its adjacency matrix.

Ans:

V(G) = {1,2,3,4}

E(G) = {(1,2),(1,3),(3,3,),(3,4),(4,1)}

(i). The undirected graph is shown as follows:-

909_Undirected graph.png

(ii) The adjacency matrix is written as follows:-

942_Adjacency matrix2.png

Related Discussions:- Undirected graph and adjacency matrix

Rules for abstract data type-tree, null(nil) = true // ...

null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(

Explain graph traversal, Graph Traversal In many problems we wish to in...

Graph Traversal In many problems we wish to investigate all the vertices in a graph in some systematic order. In graph we often do not have any single vertex singled out as spe

Stack, Explain in detail the algorithmic implementation of multiple stacks....

Explain in detail the algorithmic implementation of multiple stacks.

What are the objectives of visual realism applications, What are the Object...

What are the Objectives of visual realism applications After studying this unit, you should be able to know specific needs of realism, add realism to pictures by el

Estimate the probability that the noncritical path , An advertising project...

An advertising project manager developed the network diagram shown below for a new advertising campagign. In addition, the manager gathered the time information for each activity,

Binary search trees, In this unit, we discussed Binary Search Trees, AVL tr...

In this unit, we discussed Binary Search Trees, AVL trees and B-trees. The outstanding feature of Binary Search Trees is that all of the elements of the left subtree of the root

State algorithm to insert node p at the end of a linked list, Algo rithm t...

Algo rithm to Insert a Node p at the End of a Linked List is explained below Step1: [check for space] If new1= NULL output "OVERFLOW" And exit Step2: [Allocate fr

What is a binary search tree (bst), What is a Binary Search Tree (BST)? ...

What is a Binary Search Tree (BST)? A binary search tree B is a binary tree every node of which satisfies the three conditions: 1. The value of the left-subtree of 'x' is le

Non-recursive algorithm, Q . Write down the non-recursive algorithm to tra...

Q . Write down the non-recursive algorithm to traverse a tree in preorder. Ans: T he Non- Recursive algorithm for preorder traversal is written below: Initially i

Implementation of stack, In this unit, we have learned how the stacks are i...

In this unit, we have learned how the stacks are implemented using arrays and using liked list. Also, the advantages and disadvantages of using these two schemes were discussed. Fo

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages