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∑MathBeginner

Graph Fundamentals

A graph models relationships between items using vertices (nodes) and edges (links).

#graph#vertex#edge+12
⚙️AlgorithmAdvanced

Hungarian Algorithm

The Hungarian algorithm solves the square assignment problem (matching n workers to n jobs) in O(n^{3}) time using a clever potential (label) function on vertices.

#hungarian algorithm#assignment problem
Advanced
Filtering by:
#dense graph
#bipartite matching
+11
⚙️AlgorithmIntermediate

Minimum Spanning Tree - Prim

Prim's algorithm builds a Minimum Spanning Tree (MST) by growing a tree from an arbitrary start vertex, always adding the lightest edge that connects the tree to a new vertex.

#prim#minimum spanning tree#mst+12
⚙️AlgorithmIntermediate

Floyd-Warshall Algorithm

Floyd–Warshall computes the shortest distances between all pairs of vertices in O(n^3) time using dynamic programming.

#floyd-warshall#all pairs shortest path#apsp+12
⚙️AlgorithmIntermediate

Dijkstra's Algorithm

Dijkstra's algorithm finds shortest path distances from one source to all vertices when all edge weights are non-negative.

#dijkstra#shortest path#greedy+11