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

Operations on sequential files, Insertion: Records has to be inserted at t...

Insertion: Records has to be inserted at the place dictated by the sequence of keys. As is obvious, direct insertions into the main data file would lead to frequent rebuilding of

Insertion in list, In the array implementation of lists, elements are store...

In the array implementation of lists, elements are stored into continuous locations. In order to add an element into the list at the end, we can insert it without any problem. But,

Bayesian statistics question, Suppose that there is a Beta(2,2) prior distr...

Suppose that there is a Beta(2,2) prior distribution on the probability theta that a coin will yield a "head" when spun in a specified manner. The coin is independently spun 10 tim

Explain floyds algorithm, Explain Floyd's algorithm It is convenient to...

Explain Floyd's algorithm It is convenient to record the lengths of shortest paths in an n by n matrix D known as the  distance matrix: the element d ij   in the i th   row an

What are the specific needs for realism, Normal 0 false false...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Which data structure is used for implementing recursion, Which data structu...

Which data structure is used for implementing recursion Stack.

Sorting, Sort the following array of elements using quick sort: 3, 1, 4, 1,...

Sort the following array of elements using quick sort: 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8.

A difference between linear and non linear, state difference between linear...

state difference between linear and non linear data structure. give one example scenario of each

Define about the structure - container, Define about the Structure - Contai...

Define about the Structure - Container - Some containers hold elements in some sort of structure, and some don't. Containers with no structure include bags and sets. Containe

Define algorithm, What is an Algorithm? An algorithm is a sequence of u...

What is an Algorithm? An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for getting a needed output for any legitimate input in a finite amoun

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