Standard ways of traversing a graph, Data Structure & Algorithms

Assignment Help:

Q. Which are the two standard ways of traversing a graph?  Explain them with an example of each. 

Ans:

 

The two ways of traversing a graph are written below

i. The depth-first traversal     of a graph is same as the depth-first traversal of a tree. Since a graph does not have any root, when we do a depth-first traversal, we must specify the vertex at which to begin. Depth-first traversal of a graph visits a vertex and then recursively visits all the vertices adjacent to that particular node. The catch is that the graph may have cycles, but the traversal must visit each and every vertex at most once. The solution to the trouble is to keep track of the nodes that have been visited, so that the traversal does not undergo the fate of infinite recursion.

ii. The breadth-first traversal     of a graph is same as the breadth-first traversal of the tree. Breadth-first tree traversal first of all visits all the nodes at the  depth zero (which is the root), then it visits all the nodes at depth one, and this process continues. Since a graph does not has root, when we perform a breadth-first traversal, we should specify the vertex at which to start the traversal. Furthermore, we can define the depth of the given vertex to be the length of the shortest path from the starting vertex to the vertex given to us.

Hence, breadth-first traversal first visits the beginning vertex, then all the vertices adjacent to the starting vertex, and the all the vertices adjacent to those, and it continues.

 


Related Discussions:- Standard ways of traversing a graph

Advantages of the last in first out method, Materials consumed are priced i...

Materials consumed are priced in a systematic and realistic manner. It is argued that current acquisition costs are incurred for the purpose of meeting current production and sales

Data structure queue, In this unit, we described about the data structure Q...

In this unit, we described about the data structure Queue. It had two ends. One is front from where the elements can be removed and the other is rear where the elements can be inse

Explain the linked list implementation of stack, Question 1 Explain the fo...

Question 1 Explain the following? Arrays Stack Trees Question 2 Explain the Linked list implementation of stack Question 3 What is a binary tree? Expla

Define big omega notation, Define Big Omega notation Big Omega notatio...

Define Big Omega notation Big Omega notation (?) : The lower bound for the function 'f' is given by the big omega notation (?). Considering 'g' to be a function from the non-n

General, whats the definition of ADT and data type?

whats the definition of ADT and data type?

State hsv colour model, HSV Colour Model Instead of a set of colour pri...

HSV Colour Model Instead of a set of colour primaries, the HSV model uses colour descriptions that have a more intuitive appeal to a user. To give a colour specification, a use

Searhing and sorting algorithms, how I can easily implement the bubble,sele...

how I can easily implement the bubble,selection,linear,binary searth algorithms?

Process of channel access, Channel access In first generation systems, ...

Channel access In first generation systems, every cell supports a number of channels. At any given time a channel is allocated to only one user. Second generation systems also

Explain the halting problem, Explain the halting problem Given a comput...

Explain the halting problem Given a computer program and an input to it, verify whether the program will halt on that input or continue working indefinitely on it.

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