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

Implementation of a binary tree, Like general tree, binary trees are implem...

Like general tree, binary trees are implemented through linked lists. A typical node in a Binary tree has a structure as follows struct NODE { struct NODE *leftchild; i

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,

Estimate cost of an optimal diapath, Normally a potential y satisfies y r ...

Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v

Procedure of analysis of algorithm, Example 1:  Following are Simple sequen...

Example 1:  Following are Simple sequence of statements Statement 1;  Statement 2; ... ... Statement k; The entire time can be found out through adding the times for

Characteristics of good algorithms, What do we mean by algorithm? What are ...

What do we mean by algorithm? What are the characteristics of a good and relevant algorithm? An algorithm is "a step-by-step procedure for finishing some task'' An algorithm c

Deletion algorithm for dequeue, Deletion Algorithm for dequeue Step 1:...

Deletion Algorithm for dequeue Step 1: [check for underflow]   If front = 0 and rear = 0   Output "underflow" and return Step 2: [delete element at front end]   If front

Write a function that performs integer division, Write a function that perf...

Write a function that performs integer division. The function should take the large number in memory location 1 and divide it by the large number in memory location 2 disregarding

Algorithms, b) The user will roll two (six-sided) dices and the user will l...

b) The user will roll two (six-sided) dices and the user will lose the game if (s)he gets a value 1 on either any of the two dices & wins otherwise. Display a message to the user w

File organization, Define File organization''s and it''s types

Define File organization''s and it''s types

Algorithms, characteristics of a good algorithm

characteristics of a good algorithm

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