Breadth First Search (BFS) and Depth First Search (DFS) are two graph traversal algorithms. BFS uses a queue to visit all neighbor nodes at the present depth prior to moving to the next depth level, while DFS uses a stack to explore as far as possible along each branch before backtracking. The document provides pseudocode for BFS and DFS algorithms and explains their process through examples of traversing graphs from a starting node.
Breadth First Search Algorithm In 10 Minutes | Artificial Intelligence Tutori...Edureka!
YouTube Link: https://youtu.be/PbCl67GY1ck
** Machine Learning Engineer Masters Program: https://www.edureka.co/masters-program/machine-learning-engineer-training **
In this Edureka Session on Breadth-First Search Algorithm, we will discuss the logic behind graph traversal methods and use examples to understand the working of the Breadth-First Search algorithm.
Here’s a list of topics covered in this session:
1. Introduction To Graph Traversal
2. What is the Breadth-First Search?
3. Understanding the Breadth-First Search algorithm with an example
4. Breadth-First Search Algorithm Pseudocode
5. Applications Of Breadth-First Search
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BREADTH FIRST SEARCH (bfs)
Inventor of bfs
Example of bfs
Algorithm of bfs
Complexity
Time Complexity
Space Complexity
Queue in bfs
bfs optimal
Container of bfs
Completeness of bfs
Shallowest node
Uninformed search technique
Application of bfs
Conclusion
Thank you for visiting.......
Breadth First Search Algorithm In 10 Minutes | Artificial Intelligence Tutori...Edureka!
YouTube Link: https://youtu.be/PbCl67GY1ck
** Machine Learning Engineer Masters Program: https://www.edureka.co/masters-program/machine-learning-engineer-training **
In this Edureka Session on Breadth-First Search Algorithm, we will discuss the logic behind graph traversal methods and use examples to understand the working of the Breadth-First Search algorithm.
Here’s a list of topics covered in this session:
1. Introduction To Graph Traversal
2. What is the Breadth-First Search?
3. Understanding the Breadth-First Search algorithm with an example
4. Breadth-First Search Algorithm Pseudocode
5. Applications Of Breadth-First Search
Follow us to never miss an update in the future.
YouTube: https://www.youtube.com/user/edurekaIN
Instagram: https://www.instagram.com/edureka_learning/
Facebook: https://www.facebook.com/edurekaIN/
Twitter: https://twitter.com/edurekain
LinkedIn: https://www.linkedin.com/company/edureka
Castbox: https://castbox.fm/networks/505?country=in
BREADTH FIRST SEARCH (bfs)
Inventor of bfs
Example of bfs
Algorithm of bfs
Complexity
Time Complexity
Space Complexity
Queue in bfs
bfs optimal
Container of bfs
Completeness of bfs
Shallowest node
Uninformed search technique
Application of bfs
Conclusion
Thank you for visiting.......
The Computer Science solves a lot of daily problems in our lifes, one of them is search problems. These problems sometimes are so hard to find a good solution because is necessary study hard to comprehend the problem, modeling it and after this propose a solution. In this homework, my goal is define and explain the differ- ences between the algorithms DFS - Depth-First Search and Backtrancking. Firstly, I will introduce these algorithms in the section 2 and 3 to DFS and Backtracking respectively. In the section 4 I will show the differences between them. Finally, the conclusion in the section 5.
The Computer Science solves a lot of daily problems in our lifes, one of them is search problems. These problems sometimes are so hard to find a good solution because is necessary study hard to comprehend the problem, modeling it and after this propose a solution. In this homework, my goal is define and explain the differ- ences between the algorithms DFS - Depth-First Search and Backtrancking. Firstly, I will introduce these algorithms in the section 2 and 3 to DFS and Backtracking respectively. In the section 4 I will show the differences between them. Finally, the conclusion in the section 5.
An overview of the most simple algorithms used in data structures for path finding. Dijkstra, Breadth First Search, Depth First Search, Best First Search and A-star
Naturally feel free to copy for assignments and all
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3. TECHNIQUES FOR GRAPHS
Definition 1: Traversal of a binary tree involves
examining every node in the tree.
Definition 2: Search involves visiting nodes in a graph
in a systematic manner, and may or may not result into a
visit to all nodes.
Different nodes of a graph may be visited, possibly more
than once, during traversal or search
If search results into a visit to all the vertices, it is called
traversal
4. BFS (BREADTH FIRST SEARCH)
Breadth First Search (BFS) algorithm traverses a graph in a breadth
ward motion and uses a queue to remember to get the next vertex to
start a search, when a dead end occurs in any iteration.
As in the example given, BFS algorithm traverses from A to B to E to F
first then to C and G lastly to D. It employs the following rules.
Rule 1 − Visit the adjacent unvisited vertex.
Mark it as visited.
Display it.
Insert it in a queue.
Rule 2 − If no adjacent vertex is found,
remove the first vertex from the queue.
Rule 3 − Repeat Rule 1 and Rule 2
until the queue is empty.
5. Step Traversal Description
1 Initialize the queue.
2 We start from
visiting S(starting node),
and mark it as visited.
3 We then see an unvisited
adjacent node from S.
In this example, we have
three nodes but
alphabetically we
choose A, mark it as
visited and enqueue it.
6. 4 Next, the unvisited
adjacent node from S& B.
We mark it as visited and
enqueue it.
5 Next, the unvisited
adjacent node from S is C.
We mark it as visited and
enqueue it.
6 Now, S is left with no
unvisited adjacent nodes.
So, we dequeue and
find A.
7 From A we have D as
unvisited adjacent node.
We mark it as visited and
enqueue it.
Atthisstage,weareleftwithnounmarked(unvisited)nodes.Butasperthealgorithm
wekeepondequeuinginordertogetallunvisitednodes.
Whenthequeuegetsemptied,theprogramisover.
7. ALGORITHM
Algorithm for Breadth First Search
Algorithm BFS(v)
//A breadth first search of G is carried out beginning
//at vertex v. For any node i, visited[i] = 1 if i has
//already been visited. The graph G and array visited[]
//are global; visited[] is initialized to zero.
{
u:=v; //q is a queue of unexplored vertices.
visited[v]:=1;
repeat
{
for all vertices w adjacent from u do
{
if(visited[w]=0) then
{
Add w to q; //w is unexplored.
visited[w]:=1;
}
}
if q is empty then return;// No unexplored vertex.
8. DFS (DEPTH FIRST SEARCH)
Depth First Search (DFS) algorithm traverses a graph in a
depth ward motion and uses a stack to remember to get the next
vertex to start a search, when a dead end occurs in any iteration.
As in the example given, DFS algorithm traverses from S to A to D
to G to E to B first, then to F and lastly to C. It employs the
following rules.
Rule 1 − Visit the adjacent unvisited vertex.
Mark it as visited.
Display it.
Push it in a stack.
Rule 2 − If no adjacent vertex is found,
pop up a vertex from the stack.
(It will pop up all the vertices from the stack,
which do not have adjacent vertices.)
Rule 3 − Repeat Rule 1 and Rule 2 until
the stack is empty.
9. Step Traversal Description
1
Initialize the stack.
2 Mark S as visited and put it onto the
stack.
Explore any unvisited adjacent node
from S.
We have three nodes and we can pick
any of them.
Example, we shall take the node in an
alphabetical order.
3 Mark A as visited and put it onto the
stack.
Explore any unvisited adjacent node from
A.
Both Sand D are adjacent to A but we are
concerned for unvisited nodes only.
10. 4 Visit D and mark it as visited and put onto the
stack. Here, we have B and C nodes, which are
adjacent to D and both are unvisited.
However, we shall again choose in an alphabetical
order.
5
We choose B, mark it as visited and put onto the
stack.
Here B does not have any unvisited adjacent
node. So, we pop B from the stack.
6
we check the stack top for return to the previous
node and check if it has any unvisited nodes.
Here, we find D to be on the top of the stack.
7
Only unvisited adjacent node is from D is C now.
So we visit C, mark it as visited and put it onto the
stack.
AsCdoesnothaveanyunvisitedadjacentnodesowekeeppoppingthestackuntil
wefindanodethathasanunvisitedadjacentnode.
Inthiscase,there'snoneandwekeeppoppinguntilthestackisempty.
11. ALGORITHM
Algorithm for Depth First Search
Algorithm DFS(v)
//Given an undirected(directed)graph G=(V,E) with
//n vertices and an array visited[] initially set
//to zero, this algorithm visits all vertices
//reachable from v. G and visited[] are global.
{
visited[v]:=1;
for each vertex w adjacent from v do
{
if(visited[w]=0) then
DFS(w);