Minimum cost to reach from the top-left to the bottom-right corner of a matrix
Given an N * M matrix mat[][] consisting of lower case characters, the task is to find the minimum cost to reach from the cell… Read More »
Category Archives: Graph
Minimum cost to traverse from one index to another in the String
Given a string S of length N consisting of lower case character, the task is to find the minimum cost to reach from index i… Read More »
Add and Remove vertex in Adjacency Matrix representation of Graph
A graph is a presentation of a set of entities where some pairs of entities are linked by a connection. Interconnected entities are represented by… Read More »
Find the minimum spanning tree with alternating colored edges
Given a graph with N nodes and M edges where each edge has a color (either black or green) and a cost associated with it.… Read More »
Minimum cost to reverse edges such that there is path between every pair of nodes
Given a connected, directional graph. Each node is connected to exactly two other nodes. There is weight associated with each edge denoting the cost to… Read More »
Check if given path between two nodes of a graph represents a shortest paths
Given an unweighted directed graph and Q queries consisting of sequences of traversal between two nodes of the graph, the task is to find out… Read More »
Minimum number of edges that need to be added to form a triangle
Given an undirected graph with N vertices and N edges. No two edges connect the same pair of vertices. A triangle is a set of… Read More »
Find count of pair of nodes at even distance
Given a connected acyclic graph with N nodes and N-1 edges, find out the pair of nodes that are at even distance from each other.… Read More »
Print completed tasks at end according to Dependencies
Given N dependencies of the form X Y, where X & Y represents two different tasks. The dependency X Y denotes dependency of the form… Read More »
Check if there exists a connected graph that satisfies the given conditions
Given two integers N and K. The task is to find a connected graph with N vertices such that there are exactly K pairs (i,… Read More »
Welsh Powell Graph colouring Algorithm
In graph theory, vertex colouring is a way of labelling each individual vertex such that no two adjacent vertex have same colour. But we need… Read More »
Word Ladder – Set 2 ( Bi-directional BFS )
Given a dictionary, and two words start and target (both of the same length). Find length of the smallest chain from start to target if… Read More »
Print nodes having maximum and minimum degrees
Given an undirected graph having N nodes, the task is to print the nodes having minimum and maximum degree. Examples: Input: 1—–2 | | 3—–4… Read More »
Widest Path Problem | Practical application of Dijkstra’s Algorithm
It is highly recommended to read Dijkstra’s algorithm using the Priority Queue first. Widest Path Problem is a problem of finding a path between two… Read More »
Convert Directed Graph into a Tree
Given an array arr[] of size N. There is an edge from i to arr[i]. The task is to convert this directed graph into tree… Read More »
