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

Explain all-pair shortest-paths problem, Explain All-pair shortest-paths pr...

Explain All-pair shortest-paths problem Given a weighted linked graph (undirected or directed), the all pairs shortest paths problem asks to find the distances (the lengths of

Explain critical path and chain, 1.  Using the traditional method of CPM: ...

1.  Using the traditional method of CPM: a.  What activities are on the critical path? b.  What is the expected total lead time of the project? 2.  Using CCPM: a.  What

Row major representation, Row Major Representation In memory the primar...

Row Major Representation In memory the primary method of representing two-dimensional array is the row major representation. Under this representation, the primary row of the a

Flowchart, create a flowchart that displays the students average score for ...

create a flowchart that displays the students average score for these quizzes

State about the pre- and post conditions, State about the pre- and post con...

State about the pre- and post conditions Programmers can easily document other pre- and post conditions and class invariants, though, and insert code to check most value preco

#, if two relations R and S are joined, then the non matching tuples of bot...

if two relations R and S are joined, then the non matching tuples of both R and S are ignored in

Sparse metrics, Q. Define the sparse metrics and also explain the represent...

Q. Define the sparse metrics and also explain the representation of a 4X4 matrix using linked list.         Ans: A matrix in which number of zero entries is quite h

Find the complexity of an algorithm, Q.1 What is an algorithm? What are the...

Q.1 What is an algorithm? What are the characteristics of a good algorithm? Q.2 How do you find the complexity of an algorithm? What is the relation between the time and space c

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

Complete trees, This is a k-ary position tree wherein all levels are filled...

This is a k-ary position tree wherein all levels are filled from left to right. There are a number of specialized trees. They are binary trees, AVL-trees, binary search trees, 2

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