Why will the shortest paths tree returned by Dijkstra's algorithm never be a correct minimum spanning tree (MST)?

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1000787

2026-03-13 11:50

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The shortest paths tree returned by Dijkstra's algorithm will never be a correct minimum spanning tree (MST) because Dijkstra's algorithm prioritizes finding the shortest path from a single source node to all other nodes, while a minimum spanning tree aims to connect all nodes in a graph with the minimum total edge weight without forming cycles. Dijkstra's algorithm does not consider the overall connectivity of the graph, leading to potential inconsistencies with the requirements of a minimum spanning tree.

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