Category: Graphs

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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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Determine the order of Tests when tests have dependencies on each other

Objective: You are working on a project where QA team has automated set of test cases for the project, but these test cases have to be executed in a specific order since test cases...

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Max Flow Problem – Ford-Fulkerson Algorithm

Objective: Given a directed graph that represents a flow network involving source(S) vertex and Sink (T) vertex.  Each edge in the graph has an individual capacity which is the maximum flow that edge allows....

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Find the nearest building which has bike | Find nearest specific vertex from source in a graph.

Objective: Given a matrix (NxN) which represents the buildings in community. You are in a building and you need a bike to travel.  There are few buildings in community which has bikes which you...

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Max Flow Problem – Introduction

Max Flow Problem- Maximum flow problems find a feasible flow through a single-source, single-sink flow network that is maximum. This problem is useful for solving complex network flow problems such as the circulation problem. The maximum value...

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Dijkstra Algorithm Implementation – TreeSet and Pair Class

Earlier we have seen what Dijkstra algorithm is is and how it works. In this article we will see its implementation using adjacency list and TreeSet. Example: Implementation – Adjacency List and Priority Queue...

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Dijkstra’s – Shortest Path Algorithm (SPT) – Adjacency List and Priority Queue – Java Implementation

Earlier we have seen what Dijkstra’s algorithm is and how it works. In this article we will see its implementation using adjacency list and Priority Queue. Prerequisites: Adjacency List Priority Queue Dijkstra’s Algorithm basics...

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