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

Describe data structure?, Typical programming languages such as Pascal, C o...

Typical programming languages such as Pascal, C or Java give primitive data kinds such as integers, boolean, reals values and strings. They give these to be organised into arrays,

The time and space complexities of an algorihm, Relation between the time a...

Relation between the time and space complexities of an algorithm The examining of algorithm focuses on time complexity and space complexity. As compared to time analysis, the a

Merging, merging 4 sorted files containing 50 10 25 and 15 records will tak...

merging 4 sorted files containing 50 10 25 and 15 records will take time

Implementation of tree, The most common way to insert nodes to a general tr...

The most common way to insert nodes to a general tree is to first discover the desired parent of the node you desire to insert, and then insert the node to the parent's child list.

Adjacency matrix representation of a graph, An adjacency matrix representat...

An adjacency matrix representation of a graph cannot having information of : Parallel edges

Define an array, Define an array. Array is made up of same data structu...

Define an array. Array is made up of same data structure that exists in any language. Array is set of same data types. Array is the collection of same elements. These same elem

Random searching, write a program that find,search&replace a text string

write a program that find,search&replace a text string

Data type, Data type An implementation of an abstract data type on a...

Data type An implementation of an abstract data type on a computer. Therefore, for instance, Boolean ADT is implemented as the Boolean type in Java, and bool type in C++;

Data manipulation, perform the following length operation LENGTH("welcome t...

perform the following length operation LENGTH("welcome to ICA")=

Design and test a reference array, Instructions Design and test a r...

Instructions Design and test a reference array. Reference array stores the references to user supplied objects of different types. Just think it as a heterogeneous array wh

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