Dijkstra’s shortest path with minimum edges
Prerequisite: Dijkstra’s shortest path algorithm Given an adjacency matrix graph representing paths between the nodes in the given graph. The task is to find the… Read More »
Category Archives: Graph
Detect Cycle in a Directed Graph using BFS
Given a directed graph, check whether the graph contains a cycle or not. Your function should return true if the given graph contains at least… Read More »
Find whether it is possible to finish all tasks or not from given dependencies
There are a total of n tasks you have to pick, labeled from 0 to n-1. Some tasks may have prerequisites, for example to pick… Read More »
Find the ordering of tasks from given dependencies
There are a total of n tasks you have to pick, labeled from 0 to n-1. Some tasks may have prerequisites tasks, for example to… Read More »
Graph Types and Applications
Prerequisite: Graph Theory Basics – Set 1, Graph Theory Basics – Set 2 A graph G = (V, E) consists of a set of vertices… Read More »
De Bruijn sequence | Set 1
Given an integer n and a set of characters A of size k, find a string S such that every possible string on A of… Read More »
Minimum time to return array to its original state after given modifications
Given two arrays of integers arr and P such that after a cycle an element arr[i] will be at location arr[P[i]]. The task is to… Read More »
Right sibling of each node in a tree given as array of edges
Given a tree, with N nodes and E edges (every edge is denoted by two integers, X, Y stating that X is the parent of… Read More »
Find maximum path length in a binary matrix
Given a square matrix mat every element of which is either 0 or 1. A value 1 means connected and 0 means not connected. The… Read More »
Maximum number of edges among all connected components of an undirected graph
Given integers ‘N’ and ‘K’ where, N is the number of vertices of an undirected graph and ‘K’ denotes the number of edges in the… Read More »
Number of Walks from source to destination
Given a graph and two vertices src and dest, count the total number of paths from src to dest where the length of the path… Read More »
Check if a given tree graph is linear or not
Given a tree check if it is linear or not. 1 / \ 2 3 Linear as we can form a lime 2 1 3… Read More »
All vertex pairs connected with exactly k edges in a graph
Given a directed graph represented as an adjacency matrix and an integer ‘k’, the task is to find all the vertex pairs that are connected… Read More »
Edge Coloring of a Graph
In graph theory, edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges… Read More »
Finding the probability of a state at a given time in a Markov chain | Set 2
Given a Markov chain G, we have the find the probability of reaching the state F at time t = T if we start from… Read More »