JavaScript Algorithms and Data Structures: Graphs - Depth-First Search

Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. One starts at the root (selecting some arbitrary node as the root in the case of a graph) and explores as far as possible along each branch before backtracking.

References

• Wikipedia
• Tree Traversals (Inorder, Preorder and Postorder)
• BFS vs DFS
• DFS Visualization

The Original Article can be found on https://github.com

#javascript #algorithms #datastructures #graphs

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Graphs Data Structure: Breadth First Search

A week ago we learned about graph data structure. Today we will talk about how we can work with graphs. We will try to find distances between two nodes in a graph. This is one of the main uses of graphs and it’s called graph traversal. There are two main graph algorithms Breadth First Search (BFS) and Depth First Search (DFS) and today we will talk about BFS.

This is how our graph looks like:

Breadth First Search

In our example we will work with an adjacency matrix. This is how matrix represents graph above:

We will start with an input node, then visit all its neighbors which is one edge away. And then visit all their neighbors. Point is to determine how close the node is to the root node.

Function which we will write in a moment will return an object with key value pairs where key will represent node and value how far this node is from the root.

First we will loop over the adjacency matrix (2D array), create as many key value pairs as many nodes we have on the graph. Initially we will assign distance to the infinity which represents lack of connection between the nodes.

#graph #data-structures #breadth-first-search #javascript #algorithms #algorithms

Depth First Search (DFS) in Data Structure

Depth First Search (DFS) in Data Structure

In the last article, we learned about graphs in data structures. Graphs are one of the efficient ways that are used to model daily life problems and find an optimal solution. In this article, we will learn about traversing techniques for the graph and their implementation

Depth First Search

DFS is a recursive traversal algorithm for searching all the vertices of a graph or tree data structure. It starts from the first node of graph G and then goes to further vertices until the goal vertex is reached.

• DFS uses stack as its backend data structure
• edges that lead to an unvisited node are called discovery edges while the edges that lead to an already visited node are called block edges.

DFS procedure

DFS implementation categorizes the vertices in the graphs into two categories:

• Visited
• Not visited

The major objective is to visit each node and keep marking them as “visited” without making any cycle.

Steps for DFS algorithms:

1. Start by pushing starting vertex of the graph into the stack

2. Pop the top item of the stack and add it to the visited list

3. Create the adjacency list for that vertex. Add the non-visited nodes in the list to the top of the stack

4. Keep repeating steps 2 and 3 until the stack is empty

Depth First Search Algorithm

• Step 1: STATUS = 1 for each node in Graph G
• Step 2: Push the starting node A in the stack. set its STATUS = 2
• Step 3: Repeat Steps 4 and 5 until STACK is empty
• Step 4: Pop the top node N from the stack. Process it and set its STATUS = 3
• Step 5: Push all the neighbors of N with STATUS =1 into the stack and set their STATUS = 2
• [END OF LOOP]
• Step 6: stop

#data structure tutorials #applications of depth first search #depth first search #data structure

Graphs Data Structure: Depth First Search

In a previous blog post we talked about how to apply the Breadth First Search algorithm to the graph data structure. Today, let’s figure out how Depth First Search (DFS) works.

DFS is one of the fundamental algorithms used to search nodes and edges in a graph. It’s a form of a traversal algorithm.

Just a reminder, this is how our graph looks:

And this is our adjacency matrix (read here about adjacency matrix representation):

Based on the name we can assume that BFS focuses on the depth of the graph. The search starts at some root node and it keeps searching as far as possible each branch before backtracking.

Our task is to write an algorithm that explores routes as deep as possible before going back and exploring other routes. Let’s see how we can do it.

#data-structures #graph #javascript #algorithms #algorithms

Your Data Architecture: Simple Best Practices for Your Data Strategy

If you accumulate data on which you base your decision-making as an organization, you should probably think about your data architecture and possible best practices.

If you accumulate data on which you base your decision-making as an organization, you most probably need to think about your data architecture and consider possible best practices. Gaining a competitive edge, remaining customer-centric to the greatest extent possible, and streamlining processes to get on-the-button outcomes can all be traced back to an organization’s capacity to build a future-ready data architecture.

In what follows, we offer a short overview of the overarching capabilities of data architecture. These include user-centricity, elasticity, robustness, and the capacity to ensure the seamless flow of data at all times. Added to these are automation enablement, plus security and data governance considerations. These points from our checklist for what we perceive to be an anticipatory analytics ecosystem.

#big data #data science #big data analytics #data analysis #data architecture #data transformation #data platform #data strategy #cloud data platform #data acquisition

Graph Data Structures and Algorithms in JavaScript for Beginners

Hello! Today I’ll be going over graphs . These data structures are the most widely used on the web, given the countless forms that a graph can organize values or even the data structures that can be made from them. In fact, the worldwide web itself can be represented as a graph. Let’s jump right into it!

#javascript #graph #algorithms #data-structures