Breadth first search, Data Structure & Algorithms

Assignment Help:

While BFS is applied, the vertices of the graph are divided into two categories. The vertices, that are visited as part of the search & those vertices that are not visited as part of the search. The approach adopted in breadth first search is to begin search at a vertex(source). Once you begun at source, the number of vertices that are visited as part of the search is 1 and all the remaining vertices need to be visited.

Then, search the vertices that are adjacent to the visited vertex from left to order. In this way, all of the vertices of the graph are searched.

Let the digraph of Figure. Assume that the search begun from S. Now, the vertices (from left to right) adjacent to S that are not visited as part of the search are B, C, A. So, B,C and A are visited after S as portion of the BFS. Then, F is the unvisited vertex adjacent to B. hence, the visit to B, C & A is followed by F. The unvisited vertex adjacent of C is D. Thus, the visit to F is followed by D. There are no unvisited vertices adjacent to A. At last, the unvisited vertex E adjacent to D is visited.

So, the sequence of vertices visited as part of BFS is S, B, C, A, F, D and E.


Related Discussions:- Breadth first search

Infix expression has balanced parenthesis or not, Q. By making use of stack...

Q. By making use of stacks, write an algorithm to determine whether the infix expression has balanced parenthesis or not.

Determine the output of vehicles algorithm, Draw trace table and determine ...

Draw trace table and determine the output from the below flowchart using following data (NOTE: input of the word "end" stops program and outputs results of survey):  Vehicle = c

State the term access restrictions - container, What is Access Restriction...

What is Access Restrictions Structured containers with access restrictions only allow clients to add, remove and examine elements at certain locations in their structure. For

Polynomials, Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8...

Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8  can  be  represented by using arrays. Arithmetic operations such as addition & multiplication of polynomials are com

Algorithm for a function that takes in integer as argument, Write a detaile...

Write a detailed description of a function that takes in an integer as an argument, then prints out the squares of all positive integers whose squares are less than the input. (The

Adjacency list representation, Adjacency list representation An Adjacen...

Adjacency list representation An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V,

Efficiency of binary search, Each of the comparison in the binary search de...

Each of the comparison in the binary search decrease the number of possible candidates where the key value can be searched by a factor of 2 as the array is divided into two halves

Abstract Data Types, A useful tool which is used for specifying the logical...

A useful tool which is used for specifying the logical properties of a data type is called the abstract data type or ADT. The term "abstract data type" refers to the fundamental ma

Complexity of quick sort, Q. What do you mean by the best case complexity o...

Q. What do you mean by the best case complexity of quick sort and outline why it is so. How would its worst case behaviour arise?

Write the algorithm of the quick sort, Ans. An algorithm for the quick...

Ans. An algorithm for the quick sort is as follows: void quicksort ( int a[ ], int lower, int upper ) { int i ; if ( upper > lower ) { i = split ( a, lower, up

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