Category: Graphs

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Check if Graph is Bipartite – Adjacency List using Breadth-First Search(BFS)

Objective: Given a graph represented by the adjacency List, write a Breadth-First Search(BFS) algorithm to check whether the graph is bipartite or not. Earlier we have solved the same problem using Depth-First Search (DFS)....

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Articulation Points OR Cut Vertices in a Graph

Objective: Given a graph, write an algorithm to find all the articulation points or cut vertices. Articulation Points: In a graph, a vertex is called an articulation point if removal of that vertex (along...

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Check If Given Undirected Graph is a tree

Objective: Given an undirected graph, Write an algorithm to determine whether its tree or not. An undirected graph is a tree if it has properties mentioned below There is no cycle present in the...

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Find the number of distinct Islands OR connected components.

Objective: Given a 2d grid map of ‘1’s (land) and ‘0’s (water), count the number of distinct or unique islands. Island: An island is surrounded by water and is formed by connecting adjacent lands...

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Print All Paths in Dijkstra’s Shortest Path Algorithm

Objective:  Given a graph and a source vertex write an algorithm to find the shortest path from the source vertex to all the vertices and print the paths all well. Example: We strongly recommend reading...

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Number of Islands using BFS

Objective: Given a 2d grid map of ‘1’s (land) and ‘0’s (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. Assume...

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Check if Graph is Bipartite – Adjacency List using Depth-First Search(DFS)

Objective: Given a graph represented by the adjacency List, write a Depth-First Search(DFS) algorithm to check whether the graph is bipartite or not. Earlier we have solved the same problem using Adjacency Matrix (Check...

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Maximum number edges to make Acyclic Undirected/Directed Graph

Given- Given V vertices, what is the maximum number of edges can be added to make Acyclic Undirected Graph. Follow up – what is the maximum number of edges that can be added to...

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Number of Islands

Objective: Given a 2d grid map of ‘1’s (land) and ‘0’s (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. Assume...

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Check if Graph is Bipartite – Adjacency Matrix using Depth-First Search(DFS)

Objective: Given a graph represented by the adjacency matrix, write a Depth-First Search(DFS) algorithm to check whether the graph is bipartite or not. Bipartite Graphs OR Bigraphs is a graph whose vertices can be...

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