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

Relationship between shortest path distances of modified, a) Given a digrap...

a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin

Whether a binary tree is a binary search tree or not, Write an algorithm to...

Write an algorithm to test whether a Binary Tree is a Binary Search Tree. The algorithm to test whether a Binary tree is as Binary Search tree is as follows: bstree(*tree) {

Deletion of any element from the queue, Program segment for the deletion of...

Program segment for the deletion of any element from the queue delmq(i) /* Delete any element from queue i */ { int i,x; if ( front[i] == rear[i]) printf("Queue is

2 way merge sort, merge sort process for an example array {38, 27, 43, 3, 9...

merge sort process for an example array {38, 27, 43, 3, 9, 82, 10}. If we take a closer look at the diagram, we can see that the array is recursively divided in two halves till the

Graph connectivity, A connected graph is a graph wherein path exists among ...

A connected graph is a graph wherein path exists among every pair of vertices. A strongly connected graph is a directed graph wherein every pair of distinct vertices is connecte

Compare two functions, Comp are two functions n 2 and 2 n / 4...

Comp are two functions n 2 and 2 n / 4 for distinct values of n. Determine When s ec on d function b ec om es l a r g er th an f i r st functi

Sd, sdsd.

sdsd.

Elaborate the symbols of abstract data type, Elaborate the symbols of abstr...

Elaborate the symbols of abstract data type length(a)-returns the number of characters in symbol a. capitalize(a)-returns the symbol generated from a by making its first cha

Graphs with negative edge costs, We have discussed that the above Dijkstra'...

We have discussed that the above Dijkstra's single source shortest-path algorithm works for graphs along with non-negative edges (like road networks). Given two scenarios can emerg

Algorithm for sorting a deck of cards, What is wrong with the following alg...

What is wrong with the following algorithm for sorting a deck of cards (considering the basic properties of algorithms)? I. Put the cards together into a pile II. For each ca

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages