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πŸ”·Allβˆ‘Mathβš™οΈAlgoπŸ—‚οΈDSπŸ“šTheory

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#graph theory
βš™οΈAlgorithmIntermediate

Tree DP - Matching and Covering

Tree DP solves matching, vertex cover, and independent set on trees in linear time using small state transitions per node.

#tree dp#maximum matching#vertex cover+12
βš™οΈAlgorithmIntermediate

KΓΆnig's Theorem

KΓΆnig's Theorem states that in any bipartite graph, the size of a maximum matching equals the size of a minimum vertex cover.

#konig's theorem#bipartite matching#minimum vertex cover+12
βš™οΈAlgorithmIntermediate

Tree Distances and Diameter

Tree diameter is the longest simple path in a tree and can be found with two BFS/DFS runs.

#tree diameter#tree center#eccentricity+12