Undirected graph and adjacency matrix, Data Structure & Algorithms

Assignment Help:


Q. Consider the specification written below of a graph G

V(G ) = {1,2,3,4}

E(G ) = {(1,2), (1,3), (3,3), (3,4), (4,1)}

(i)        Draw the undirected graph.

(ii)       Also draw its adjacency matrix.                                           

 

Ans:

V(G) = {1,2,3,4}

E(G) = {(1,2),(1,3),(3,3,),(3,4),(4,1)}

(i). The undirected graph is shown as follows:-

 

 

909_Undirected graph.png

 

 

(ii) The adjacency matrix is written as follows:-

 

 

942_Adjacency matrix2.png


Related Discussions:- Undirected graph and adjacency matrix

C++, #What is the pointer

#What is the pointer

Find strongly connected components - dfs, A striking application of DFS is ...

A striking application of DFS is determine a strongly connected component of a graph. Definition: For graph G = (V, E) , where V refer to the set of vertices and E refer to the

Explain stacks, What are stacks? A stack is a data structure that organ...

What are stacks? A stack is a data structure that organizes data similar to how one organizes a pile of coins. The new coin is always placed on the top and the oldest is on the

Best case, Best Case: If the list is sorted already then A[i] T (n) = ...

Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1)  = O (n), which indicates that the time complexity is linear. Worst Case:

Define strictly binary tree, Define Strictly Binary Tree Strictly Bina...

Define Strictly Binary Tree Strictly Binary Tree: - If each non leaf node in binary tree has non empty left and right sub-trees , then the tree is known as a strictly binary t

Define chaining process of hashing, Chaining In this method, instead of...

Chaining In this method, instead of hashing function value as location we use it as an index into an array of pointers. Every pointer access a chain that holds the element havi

Pipelining., How branching takes place in Instruction pipeline. Explain wit...

How branching takes place in Instruction pipeline. Explain with suitable examples

Simplifying assumptions of wire frame representation, Simplifying Assumptio...

Simplifying Assumptions of wire frame representation Neglect colour - consider Intensity: For now we shall forget about colour and restrict our discussion just to the intensi

Determine about the push operation, Determine about the push operation ...

Determine about the push operation A Container may or may not be accessible by keys, so it can't make assumptions about element retrieval methods (for example, it cannot have a

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