<ul><li>Union Find algorithm is essential for graph data structure problems, determining connections between vertices based on existing edges.</li><li>Real-world applications include LinkedIn, where it shows users' connections based on levels of relation.</li><li>The algorithm uses Find to determine the root representative of a vertex's set and Union to merge vertices.</li><li>Initially, each vertex is in its own set and has the same rank.</li><li>The Find method recursively finds the root representative of a vertex's set.</li><li>The Union method merges two vertices into a single set based on their ranks.</li><li>Path Compression optimizes the Find method by reducing the path to the root representative.</li><li>The Find method helps in determining the representative element of a set efficiently.</li><li>The Union method combines two sets into one by considering their ranks.</li><li>Implementations like LinkedIn's connection display utilize Union Find algorithm for efficient computation.</li></ul>

Disjoint Set Union / Union Find Algorithm Simplified

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