Category: Graphs

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Prim’s – Minimum Spanning Tree (MST) |using Adjacency List and Priority Queue without decrease key in O(ElogV)

Earlier we have seen the implementation of prim’s algorithm using priority queue with decrease key and how decrease key has increased the time complexity. In this article we will improve the implementation(without decrease key)...

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Graph – Find Cycle in Undirected Graph using Disjoint Set (Union-Find)

Objective: Given a graph, check if the graph contains a cycle using disjoint set. Note: Disjoint-set data structure, also called a union–find data structure or merge–find set. Example: Earlier in Detect Cycle in Undirected Graph using DFS we...

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Graph – Detect Cycle in Undirected Graph using DFS

Objective: Given undirected graph write an algorithm to find out whether graph contains cycle or not. Example: Approach: Earlier we have seen how to find cycles in directed graphs. In this article we will...