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

Exact analysis of insertion sort, Exact analysis of insertion sort: Let...

Exact analysis of insertion sort: Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort. T j is the time taken to execute the s

Er diagram, Ask queConsider the following functional dependencies: Applican...

Ask queConsider the following functional dependencies: Applicant_ID -> Applicant_Name Applicant_ID -> Applicant_Address Position_ID -> Positoin_Title Position_ID -> Date_Position_O

Rooted tree, It does not have any cycles (circuits, or closed paths), which...

It does not have any cycles (circuits, or closed paths), which would imply the existence of more than one path among two nodes. It is the most general kind of tree, and might be co

Algorithm to count number of nodes, Write an algorithm to count number of n...

Write an algorithm to count number of nodes in the circular linked list. Ans. Counting No of Nodes in Circular List Let list be a circular h

Need help with working out. I dont really get it, Suppose there are exactly...

Suppose there are exactly five packet switches (Figure 4) between a sending host and a receiving host connected by a virtual circuit line (shown as dotted line in figure 4). The tr

Lists, In the earlier unit, we have discussed about the arrays. Arrays are ...

In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulat

Example of single node with multiple elements, The class Element represents...

The class Element represents a single node that can be part of multiple elements on a hotplate and runs in its own thread. The constructor accepts the initial temperature and a hea

String pattern matching, Document processing is quickly becoming one of the...

Document processing is quickly becoming one of the dominant functions of computers. Computers are utilized to edit, search & transport documents over the Internet, and to display d

Explain how the shuttle sort algorithm works, Question 1 Explain how th...

Question 1 Explain how the shuttle sort algorithm works by making use of the following list of integers:11, 4, 2, 8, 5, 33, 7, 3, 1, 6. Show all the steps. Question 2

Define chaining process of hashing, Chaining In this method, instead of...

Chaining In this method, instead of hashing function value as location we use it as an index into an array of pointers. Every pointer access a chain that holds the element havi

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages