Different ways for representing s graph, Data Structure & Algorithms

Assignment Help:

What are the different ways by which we can represent graph?  Represent the graph drawn below using those ways.

 

1351_graph_theory.png

 

The different ways by which we can representgraph are:

Adjacency list representation: This representation of graph comprises of an array Adj of |V| lists, one for each vertex in V. For each uεV, the adjacency list Adj[u] comprises of all the vertices v such that there is an edge (u,v E that is Adj[u] comprises of all the vertices adjacent to u in G. The vertices in each adjacency list are stored out in an arbitrary order. The adjacency list representation of given graph is depicted in the figure drawn below:

1735_graph_theory_1.png

Adjacency Matrix representation: This representation consists of the |V|*|V| matrix

A= (aij) such that

 

1681_Adjency_matrix.png

The adjacency matrix representation of given graph is as follows:

2024_graphs.png


Related Discussions:- Different ways for representing s graph

Find the optimal control, 1. Use the Weierstrass condition, find the (Stron...

1. Use the Weierstrass condition, find the (Strongly) minimizing curve and the value of J min for the cases where x(1) = 0, x(2) = 3. 2. The system = x 1 + 2u; where

State the output of avaerage value of numbers, Draw trace table and determi...

Draw trace table and determine output from the subsequent flowchart using below data:  X = 5, -3, 0, -3, 7, 0, 6, -11, -7, 12

Java, Ask consider the file name cars.text each line in the file contains i...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

Write an algorithm inputs speed of cars using pseudocode, Write an algorith...

Write an algorithm by using pseudocode which: Inputs top speeds of 5000 cars Outputs fastest speed and the slowest speed Outputs average speed of all the 5000 cars

Simulation of queues, Simulation is the process of making an abstract model...

Simulation is the process of making an abstract model of a real world situation in order to be aware of the effect of modifications and alterations and the effect of introducing nu

Last in first out method, This method is the reverse of FIFO and assumes th...

This method is the reverse of FIFO and assumes that each issue of stock is made from latest items received in the enterprises .Thus if the last lot to be received is not sufficient

Red black tree, red black tree construction for 4,5,6,7,8,9

red black tree construction for 4,5,6,7,8,9

Explain in brief the asymptotic notations, Question 1 Write the different ...

Question 1 Write the different characteristics of an algorithm Question 2 Explain in brief the asymptotic notations Question 3 Write an algorithm of insertion sort and e

Explain the memory function method, Explain the Memory Function method ...

Explain the Memory Function method The Memory Function method seeks to combine strengths of the top  down and bottom-up approaches  to  solving  problems  with  overlapping  su

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