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 b-trees, Operations on B-Trees Given are various operatio...

Operations on B-Trees Given are various operations which can be performed on B-Trees: Search Create Insert B-Tree does effort to minimize disk access and t

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

Multiplication, Implement multiple stacks in a single dimensional array. Wr...

Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

Pest control program, PART- Pest Control Program Prepare a Pest Contro...

PART- Pest Control Program Prepare a Pest Control Program for the facility that will address the management of Rodents, Insects and Birds. Your Pest Control Program should

What is solid modeling, What is Solid modeling Solid modeling is the mo...

What is Solid modeling Solid modeling is the most powerful of the 3-D modeling technique. It provides the user with complete information about the model. Defining an object wit

Sort list of distinct numbers in ascending order - quicksort, (1) Sort a li...

(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a

Array and two-dimensional array, Q. Describe the term array.  How do we rep...

Q. Describe the term array.  How do we represent two-dimensional arrays in memory?  Explain how we calculate the address of an element in a two dimensional array.

Multiple Queues in a single dimension array, Implement multiple queues in a...

Implement multiple queues in a single dimensional array. Write algorithms for various queue operations for them.

B-TREE and AVL tree diffrance, Explain process of B-TREE and what differen...

Explain process of B-TREE and what difference between AVL Tree Using Algorithms

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