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

Depth-First Traversal, With the help of a program and a numerical example e...

With the help of a program and a numerical example explain the Depth First Traversal of a tree.

Interest, I =PR/12 Numbers of years .Interest rate up to 1yrs ...

I =PR/12 Numbers of years .Interest rate up to 1yrs . 5.50 up to 5yrs . 6.50 More than 5 yrs . 6.75 design an algorithm based on the above information

Splaying procedure, For splaying, three trees are maintained, the central, ...

For splaying, three trees are maintained, the central, left & right sub trees. At first, the central subtree is the complete tree and left and right subtrees are empty. The target

Algorithm for the selection sort, Q. Give the algorithm for the selection s...

Q. Give the algorithm for the selection sort. Describe the behaviours of selection sort when the input given is already sorted.

Undirected graph, Graphs are data structures which consist of a set of vert...

Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, i

Explain state space tree, Explain State Space Tree If it is convenient ...

Explain State Space Tree If it is convenient to execute backtracking by constructing a tree of choices being made, the tree is known as a state space tree. Its root indicates a

Explain the term heuristics searching, (a) Discuss the role played by Busin...

(a) Discuss the role played by Business Intelligence Systems in giving companies strategic advantage. (b) Explain the term heuristics searching . (c) With the use of an appr

Binary tree with depth 3, Q. Construct a complete binary tree with depth 3 ...

Q. Construct a complete binary tree with depth 3 for this tree which is maintained in the memory using the linked representation. Make the adjacency list and adjacency matrix for t

Find a minimum cost spanning arborescence rooted, Find a minimum cost spann...

Find a minimum cost spanning arborescence rooted at r for the digraph shown below, using the final algorithm shown in class. Please show your work, and also give a final diagram wh

Design a time algorithm, Q. An, array, A comprises of n unique integers fro...

Q. An, array, A comprises of n unique integers from the range x to y(x and y inclusive where n=y-x). Which means, there is only one member that is not in A. Design an O(n) time alg

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